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    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_FairValueInputsLevel3Member" xlink:to="us-gaap_FairValueInputsLevel3Member_lbl" />
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="tpst_IssuanceOfCommonStockToRelatedPartiesForCash" xlink:to="tpst_IssuanceOfCommonStockToRelatedPartiesForCash_lbl" />
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PropertyPlantAndEquipmentGross" xlink:to="us-gaap_PropertyPlantAndEquipmentGross_lbl" />
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ComputerEquipmentMember" xlink:to="us-gaap_ComputerEquipmentMember_lbl" />
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="tpst_NoncashLeaseExpense" xlink:to="tpst_NoncashLeaseExpense_lbl" />
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ProceedsFromStockPlans" xlink:to="us-gaap_ProceedsFromStockPlans_lbl" />
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment" xlink:to="us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment_lbl" />
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_FurnitureAndFixturesMember" xlink:to="us-gaap_FurnitureAndFixturesMember_lbl" />
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_EquityMethodInvesteeNameDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Investment, Name [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_MaximumMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Maximum [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_MaximumMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Maximum [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_MinimumMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Minimum [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_MinimumMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Minimum [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_MinimumMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Minimum [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_RangeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statistical Measurement [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_RangeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Statistical Measurement [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_RangeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statistical Measurement [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_RangeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Statistical Measurement [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Investment, Name [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_TitleOfIndividualAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Title and Position [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_TitleOfIndividualAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Title of Individual [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_TitleOfIndividualWithRelationshipToEntityDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Title and Position [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_TitleOfIndividualWithRelationshipToEntityDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Title of Individual [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_Additional350223Shares_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Additional shares</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_Additional350223Shares_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Number of additional shares.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_AuthorizedStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Authorized Stock [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_CashLiquidatedDamagesPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash liquidated damages, percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_CashLiquidatedDamagesPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of cash liquidated damages.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_CommonWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common Warrants [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_CommonWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Warrants [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_CommonWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Common warrants.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_EquityLineOfCreditMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Equity Line of Credit [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_EquityLineOfCreditMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity Line of Credit [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_FairValueMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_GrossProceeds_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Gross proceeds</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_GrossProceeds_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of gross proceeds.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_LincolnParkPurchaseAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Lincoln Park [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_LincolnParkPurchaseAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lincoln Park Purchase Agreement [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_LiquidatedDamages_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Liquidated damages</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_LiquidatedDamages_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liquidated Damages</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_LiquidatedDamages_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Repersents the amount of liquidated damages.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_O2023Q4DividendsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">O 2023 Q4 Dividends [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_O2023Q4DividendsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">O 2023 Q4 Dividends.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_OwnershipPercentageMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Ownership percentage [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_Pre-FundedWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Pre-Funded Warrants [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_PurchasePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Purchase price</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_PurchasePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of purchase price.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_September2026PrivatePlacementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">September 2026 Private Placement [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_SeriesCWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Series C Warrants [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_SeriesDWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Series D Warrants [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_SharesOutstandingPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Shares outstanding percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_SharesOutstandingPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percenatge of shares outstanding.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdditionalPaidInCapital_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Additional paid-in capital</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdditionalPaidInCapital_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Additional Paid in Capital, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ArrangementsAndNonarrangementTransactionsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Collaborative Arrangement and Arrangement Other than Collaborative [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfStockDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class of Stock [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfStockLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stockholders' Equity (Deficit) [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfStockLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class of Stock [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common Stock, $0.001 par value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Common Stock</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockParOrStatedValuePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common stock, par value (in dollars per share)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockParOrStatedValuePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock, Par or Stated Value Per Share</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesAuthorized_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common stock, shares authorized</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesAuthorized_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock, Shares Authorized</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common stock, shares issued</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Issuance of common stock</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock, Shares, Issued</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockValue_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Common stock value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common stock, $0.001 par value; 100,000,000 shares authorized; 16,889,767 and 4,927,161 shares issued and outstanding at September 30, 2026 and December 31, 2025, respectively</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock, Value, Issued</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockVotingRights_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Voting rights of common stock</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockVotingRights_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock, Voting Rights</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Net Loss Per Share [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AntidilutiveSecuritiesNameDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Antidilutive Securities, Name [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AntidilutiveSecuritiesNameDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Antidilutive Securities, Name [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_CommonStockWarrantsMemberMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Common Stock Warrants [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_CommonStockWarrantsMemberMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock Warrants Member [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_CommonStockWarrantsMemberMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Common Stock Warrants Member</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TypeOfArrangementAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Collaborative Arrangement and Arrangement Other than Collaborative [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SaleOfStockPricePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Price per share</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SaleOfStockPricePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stock price (in dollars per share)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SaleOfStockPricePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Sale of Stock, Price Per Share</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_LocationStatementOfIncomeBalancesAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Location, Statement of Income, Balances [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_LocationStatementOfIncomeBalanceDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Location, Statement of Income, Balance [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_ResearchAndDevelopmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Research and development [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_ResearchAndDevelopmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Research and Development [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_GeneralAndAdministrativeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">General and administrative [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_GeneralAndAdministrativeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">General and Administrative [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TransfersAndServicingOfFinancialInstrumentsTypesOfFinancialInstrumentsDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financial Instruments [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WarrantMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrant [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WarrantMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Warrants [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WarrantExercisePriceDecrease_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Exercise price per share</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WarrantExercisePriceDecrease_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrant, Exercise Price, Decrease</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Antidilutive securities excluded from computation of earnings</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Antidilutive Securities Excluded from Computation of Earnings Per Share, Amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareByAntidilutiveSecuritiesAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Antidilutive Securities [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareByAntidilutiveSecuritiesAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Antidilutive Securities [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Preferred stock, shares outstanding</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Preferred Stock, Shares Outstanding</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DisclosureOfCompensationRelatedCostsSharebasedPaymentsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock-Based Compensation [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GranteeStatusAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Grantee Status [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GranteeStatusAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Grantee Status [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfShareBasedCompensationArrangementsByShareBasedPaymentAwardTable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Share-based Compensation Arrangements by Share-based Payment Award [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfShareBasedCompensationArrangementsByShareBasedPaymentAwardTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Share-Based Compensation Arrangements by Share-Based Payment Award [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PlanNameDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Plan Name [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PlanNameDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Plan Name [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_A2019EmployeeStockPurchasePlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2019 Employee Stock Purchase Plan [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_A2019EmployeeStockPurchasePlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">2019 Employee Stock Purchase Plan [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_A2019EmployeeStockPurchasePlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">2019 Employee Stock Purchase Plan</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardExpirationPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Date of grant years</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardExpirationPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Expiration Period</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_TwoThousandTwentyThreeInducementPlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2023 Inducement Plan [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_TwoThousandTwentyThreeInducementPlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Two Thousand Twenty Three Inducement Plan [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_TwoThousandTwentyThreeInducementPlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Two thousand twenty three inducement plan.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsWeightedAverageVolatilityRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted average volatility rate</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsWeightedAverageVolatilityRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Fair Value Assumptions, Weighted Average Volatility Rate</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingPeriodIncreaseDecrease_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Share based compensation, modified stock options</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingPeriodIncreaseDecrease_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Outstanding, Period Increase (Decrease)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredCompensationArrangementWithIndividualAllocatedShareBasedCompensationExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stock compensation expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredCompensationArrangementWithIndividualAllocatedShareBasedCompensationExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Compensation Arrangement with Individual, Allocated Share-Based Compensation Expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardPercentageOfOutstandingStockMaximum_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Total number of shares, percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardPercentageOfOutstandingStockMaximum_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Percentage of Outstanding Stock Maximum</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardSharesIssuedInPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common stock reserved</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardSharesIssuedInPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Shares Issued in Period</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedStockOptions_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unvested employee stock options</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedStockOptions_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Nonvested Award, Option, Cost Not yet Recognized, Amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedInPeriodFairValue1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair value of stock options vested</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedInPeriodFairValue1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Vested in Period, Fair Value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_ShareBasedCompensationArrangementByShareBasedPaymentAwardMaximumNumberOfSharesAvailableForGrantPerYear_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Shares of common stock</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_ShareBasedCompensationArrangementByShareBasedPaymentAwardMaximumNumberOfSharesAvailableForGrantPerYear_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-based Compensation Arrangement by Share-based Payment Award, Maximum Number of Shares Available for Grant Per Year</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_ShareBasedCompensationArrangementByShareBasedPaymentAwardMaximumNumberOfSharesAvailableForGrantPerYear_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Share-based Compensation Arrangement by Share-based Payment Award, Maximum Number of Shares Available for Grant Per Year</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AllocatedShareBasedCompensationExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stock-based compensation expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AllocatedShareBasedCompensationExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfSharesIssuedBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Weighted-average common shares outstanding</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfSharesIssuedBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Weighted Average Number of Shares Issued, Basic</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted-average shares used in computing basic net loss per share</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Weighted-average shares of common stock, RSUs and pre-funded warrants outstanding, basic</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Weighted Average Number of Shares Outstanding, Basic</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net loss per share attributable to common stockholders - basic</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Net loss per share of common stock, RSUs and pre-funded warrants, basic</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Earnings Per Share, Basic</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementClassOfStockAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class of Stock [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementClassOfStockAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Class of Stock [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesStockOptionsExercised_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel">Exercised (in shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesStockOptionsExercised_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Exercises in Period</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Outstanding at end (in shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Number</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Outstanding at beginning (in shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Outstanding, Number</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DefinedContributionPlanEmployerDiscretionaryContributionAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Contributed amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DefinedContributionPlanEmployerDiscretionaryContributionAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Defined Contribution Plan, Employer Discretionary Contribution Amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Net loss</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfSharesOutstandingAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Denominator:</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfSharesOutstandingAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Weighted Average Number of Shares Outstanding, Diluted [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted-average shares used in computing diluted net loss per share</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Weighted-average shares of common stock, RSUs and pre-funded warrants outstanding, diluted</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Weighted Average Number of Shares Outstanding, Diluted</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareDiluted_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net loss per share attributable to common stockholders - diluted</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareDiluted_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Net loss per share of common stock, RSUs and pre-funded warrants, diluted</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareDiluted_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Earnings Per Share, Diluted</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_CoverAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cover [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentInformationLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Document Information [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentInformationLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Information [Line Items]</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentQuarterlyReport_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Quarterly Report</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentPeriodEndDate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Document Period End Date</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentPeriodEndDate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Period End Date</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingExpensesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating expenses:</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingExpensesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Expenses [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProfitLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net loss</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProfitLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Net loss</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProfitLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Net Income (Loss), Including Portion Attributable to Noncontrolling Interest</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GeneralAndAdministrativeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">General and administrative</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GeneralAndAdministrativeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">General and administrative expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GeneralAndAdministrativeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">General and Administrative Expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NonoperatingIncomeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total other income (expense), net</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NonoperatingIncomeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Nonoperating Income (Expense)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_ExerciseOfPreFundedWarrantsShares_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Exercise of pre-funded warrants (in Shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_ExerciseOfPreFundedWarrantsShares_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Exercise Of Pre Funded Warrants,Shares</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_ExerciseOfPreFundedWarrantsShares_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Exercise Of Pre Funded Warrants,shares.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightExercisePriceOfWarrantsOrRights1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Exercise price</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightExercisePriceOfWarrantsOrRights1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class of Warrant or Right, Exercise Price of Warrants or Rights</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAdjustmentOfWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair value of warrants</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAdjustmentOfWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Adjustment of Warrants</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_AssetAcquisitionAvailabilityRemainedUnderFundingCommitment_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Asset acquisition availability remained under funding commitment</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_AssetAcquisitionAvailabilityRemainedUnderFundingCommitment_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Asset acquisition availability remained under funding commitment.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ManagementFeePayable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Maintenance fees</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ManagementFeePayable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Management Fee Payable</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_VendorSettlementAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Vendor Settlement Agreement [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_OutstandingBalance_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Outstanding balance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_OutstandingBalance_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Outstanding Balance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_OutstandingBalance_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Outstanding balance of settlement agreement.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShorttermDebtAverageOutstandingAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Outstanding balance payable</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_StatementScenarioAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Scenario [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_ScenarioUnspecifiedDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Scenario [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_ScenarioForecastMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Forecast [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_DevelopmentMilestonesPayment_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Development milestones payment</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_DevelopmentMilestonesPayment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Development Milestones Payment</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_DevelopmentMilestonesPayment_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of development milestone payment upon achievement.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_CommercialMilestonePayment_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Commercial milestone payment</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_CommercialMilestonePayment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Commercial Milestone Payment</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_CommercialMilestonePayment_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of commercial milestone payment upon achievement.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_RestatedFactorLicenseAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Restated Factor License Agreement [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PrepaidExpenseAndOtherAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Prepaid and other expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PrepaidExpenseAndOtherAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Prepaid Expense and Other Assets</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Deposits_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deposits considered</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Deposits_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deposits, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_RecognizedGain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Recognized gain</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_RecognizedGain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Recognized Gain</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_RecognizedGain_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount recognized as gain.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ResearchAndDevelopmentExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Research and development expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ResearchAndDevelopmentExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Research and Development Expense, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccruedLiabilitiesCurrentAndNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued payments</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccruedLiabilitiesCurrentAndNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accrued Liabilities, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherGeneralAndAdministrativeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">General and administrative expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherGeneralAndAdministrativeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other General and Administrative Expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class of Warrant or Right [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class of Warrant or Right [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_SeriesBWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Series B Warrants [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_SeriesBWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Series B warrants [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_SeriesBWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Series b warrants.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_SeriesAWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Series A Warrants [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_SeriesAWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Series A Warrants [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_SeriesAWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Series a warrants.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Share of warrants</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Number of outstanding warrants</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class of Warrant or Right, Outstanding</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WarrantsAndRightsOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Exchange of warrants</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WarrantsAndRightsOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Warrants and rights outstanding</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WarrantsAndRightsOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrants and Rights Outstanding</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProfessionalFees_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Service fees</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProfessionalFees_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Professional Fees</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_AndrewFangMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Andrew Fang [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_YQServiceProvidersMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">YQ Service Providers [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_ClassOfWarrantOrRightExercisePriceOfWarrantsOrRightsSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of exercised warrant issued</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_ClassOfWarrantOrRightExercisePriceOfWarrantsOrRightsSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class of Warrant or Right, Exercise Price of Warrants or Rights, Shares Issued</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_ClassOfWarrantOrRightExercisePriceOfWarrantsOrRightsSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Number of exercised warrant issued.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_ErigenAssetsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Erigen Assets [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_ErigenAssetsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Erigen Assets [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_ErigenAssetsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Erigen assets.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_AssetAcquisitionConsiderationTransferredSharesEquityInterestIssuedAndIssuable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Asset acquisition, stock issued as consideration</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_AssetAcquisitionConsiderationTransferredSharesEquityInterestIssuedAndIssuable_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Shares issued to Erigen</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_AssetAcquisitionConsiderationTransferredSharesEquityInterestIssuedAndIssuable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Asset Acquisition, Consideration Transferred, Shares, Equity Interest Issued and Issuable</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_AssetAcquisitionConsiderationTransferredSharesEquityInterestIssuedAndIssuable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Asset acquisition, consideration transferred, shares, equity interest issued and issuable.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subsequent Event [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventTypeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subsequent Event Type [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subsequent Event [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subsequent Event Type [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subsequent Event [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SegmentReportingCodmIndividualTitleAndPositionOrGroupOrCommitteeNameExtensibleEnumeration_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Segment Reporting, CODM, Individual Title and Position or Group Name [Extensible Enumeration]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SegmentReportingCodmProfitLossMeasureHowUsedDescription_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Segment Reporting, CODM, Profit (Loss) Measure, How Used, Description</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetAcquisitionAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Erigen Assets Acquisition and Related Transactions [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_O2026Q1DividendsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">O 2026 Q1 Dividends [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_O2026Q1DividendsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">O 2026 Q1 Dividends.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IndefiniteLivedIntangibleAssetsMajorClassNameDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Intangible Asset, Indefinite-Lived, Class [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredBonusMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deferred Bonus [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredBonusMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Bonus [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EquityComponentDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity Component [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EquityComponentDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Equity Component [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfAntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareTable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Antidilutive Securities Excluded from Computation of Earnings Per Share [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfAntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Antidilutive Security, Excluded EPS Calculation [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NumberOfReportableSegments_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of reportable segment</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NumberOfReportableSegments_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Number of Reportable Segments</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_MonthlyInstallments_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Monthly installments</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_MonthlyInstallments_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Monthly Installments</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_MonthlyInstallments_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of monthly installments.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_ProjectManagementFee_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Project management fee percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_ProjectManagementFee_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Project Management Fee</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_ProjectManagementFee_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represents the percentage of project management fee.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_RemainingWaiverAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Remaining waiver fees</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_RemainingWaiverAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Remaining Waiver Amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_RemainingWaiverAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of remaining waiver fees that has not been used.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RoyaltyExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Royalty payments</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RoyaltyExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Royalty Expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetAcquisitionDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Asset Acquisition [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityAddressPostalZipCode_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Address, Postal Zip Code</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityAddressPostalZipCode_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Address, Postal Zip Code</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_LocalPhoneNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Local Phone Number</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_LocalPhoneNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Local Phone Number</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_TradingSymbol_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Trading Symbol</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_TradingSymbol_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Trading Symbol</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SeveranceCosts1_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Severance payments</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SeveranceCosts1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash one-time severance payments</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SeveranceCosts1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Severance Costs</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredCompensationLiabilityCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Aggregate success bonuses</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredCompensationLiabilityCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Compensation Liability, Current</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetAcquisitionAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Asset Acquisition [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetAcquisitionTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Asset Acquisition [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetAcquisitionLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Schedule of Total Cost of Asset Acquisition [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetAcquisitionLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Erigen Assets Acquisition and Related Transactions [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetAcquisitionLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Asset Acquisition [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_AssetAcquisitionConsiderationTransferredFairValueOfSharedIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair value of shared issued</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_AssetAcquisitionConsiderationTransferredFairValueOfSharedIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Asset Acquisition, Consideration Transferred Fair Value Of Shared Issued</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_AssetAcquisitionConsiderationTransferredFairValueOfSharedIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Asset acquisition, consideration transferred fair value of shared issued.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetAcquisitionConsiderationTransferred_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Total consideration</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetAcquisitionConsiderationTransferred_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Asset Acquisition, Consideration Transferred</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RelatedPartyTransactionsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Related Party Transactions [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RelatedPartyDepositLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deposits of related parties</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RelatedPartyDepositLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Related Party Deposit Liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_AssetPurchaseAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Asset Purchase Agreement [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_AssetPurchaseAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Asset Purchase Agreement [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_AssetPurchaseAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Asset purchase agreement.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SaleOfStockNameOfTransactionDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Sale of Stock [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RelatedPartyDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Related and Nonrelated Parties [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_LetterAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Letter Agreement [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_LetterAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Letter Agreement [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_LetterAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Letter Agreement.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountsPayableAndAccruedLiabilitiesCurrentAndNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Related party payable</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountsPayableAndAccruedLiabilitiesCurrentAndNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accounts Payable and Accrued Liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RelatedPartyTransactionLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Related Party Transactions [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RelatedPartyTransactionLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Related Party Transaction [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_WaiverAccountedForCapitalContribution_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Waiver accounted for capital contribution</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_WaiverAccountedForCapitalContribution_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Waiver Accounted for Capital Contribution</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_WaiverAccountedForCapitalContribution_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Waiver accounted for capital contribution.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityRegistrantName_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Registrant Name</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityRegistrantName_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Registrant Name</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityTaxIdentificationNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Tax Identification Number</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityTaxIdentificationNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Tax Identification Number</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityAddressAddressLine2_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Address, Address Line Two</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityAddressStateOrProvince_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Address, State or Province</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityAddressStateOrProvince_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Address, State or Province</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_CityAreaCode_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">City Area Code</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_CityAreaCode_lbl" xlink:role="http://www.xbrl.org/2003/role/label">City Area Code</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_Security12bTitle_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Title of 12(b) Security</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_Security12bTitle_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Title of 12(b) Security</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_NoTradingSymbolFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">No Trading Symbol Flag</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_NoTradingSymbolFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/label">No Trading Symbol Flag</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityInteractiveDataCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Interactive Data Current</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityInteractiveDataCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Interactive Data Current</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntitySmallBusiness_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Small Business</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntitySmallBusiness_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Small Business</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityShellCompany_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Shell Company</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityShellCompany_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Shell Company</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentFiscalPeriodFocus_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Document Fiscal Period Focus</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentFiscalPeriodFocus_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Fiscal Period Focus</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_CurrentFiscalYearEndDate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Current Fiscal Year End Date</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_CurrentFiscalYearEndDate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Current Fiscal Year End Date</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityCentralIndexKey_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Central Index Key</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityCentralIndexKey_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Central Index Key</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentInformationTable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Document Information [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentInformationTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Information [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementOfFinancialPositionAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statement of Financial Position [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liabilities [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashAndCashEquivalentsAtCarryingValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash and cash equivalents</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashAndCashEquivalentsAtCarryingValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash and Cash Equivalent</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccruedLiabilitiesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued expenses</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccruedLiabilitiesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccruedLiabilitiesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accrued Liabilities, Current</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Property and equipment &#8212; net</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Property and equipment-net</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Property, Plant, and Equipment, after Accumulated Depreciation, Depletion, and Amortization</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseLiabilityNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Operating lease liabilities, less current portion</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseLiabilityNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Noncurrent operating lease obligations</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseLiabilityNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Lease, Liability, Noncurrent</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesAndStockholdersEquityAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Liabilities and stockholders&#8217; equity (deficit)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesAndStockholdersEquityAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liabilities and Equity [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RetainedEarningsAccumulatedDeficit_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accumulated deficit</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RetainedEarningsAccumulatedDeficit_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Retained Earnings (Accumulated Deficit)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterestAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stockholders&#8217; equity (deficit):</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterestAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity, Including Portion Attributable to Noncontrolling Interest [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total current assets</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Assets, Current</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total stockholders&#8217; equity (deficit)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity, Including Portion Attributable to Noncontrolling Interest</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesAndStockholdersEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total liabilities and stockholders&#8217; equity (deficit)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesAndStockholdersEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liabilities and Equity</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Assets_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total assets</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Assets_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Assets</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityCurrentReportingStatus_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Current Reporting Status</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityCurrentReportingStatus_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Current Reporting Status</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityFilerCategory_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Filer Category</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityFilerCategory_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Filer Category</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_IssuanceOfCommonStockAtTheMarketOffering_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock in connection with at-the-market offering (net of issuance costs of $84)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_IssuanceOfCommonStockAtTheMarketOffering_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Issuance of Common Stock at the Market Offering</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_IssuanceOfCommonStockAtTheMarketOffering_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Issuance of common stock at the market offering.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsidiarySaleOfStockAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Sale of Stock [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_FactorBioscienceIncMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Factor Bioscience Inc. [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_FactorBioscienceIncMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Factor Bioscience Inc [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_FactorBioscienceIncMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Factor Bioscience Inc.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfRelatedPartyTransactionsByRelatedPartyTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Related Party Transaction [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PrivatePlacementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Private Placement [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PrivatePlacementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Private Placement [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RelatedPartyTransactionsByRelatedPartyAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Related and Nonrelated Parties [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_AdvisoryAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Advisory Agreement</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_AdvisoryAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Advisory Agreement [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_AdvisoryAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Advisory Agreement.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_WaiverOffAmountPayable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Waiver amount payable under Factor MSA</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_WaiverOffAmountPayable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Waiver Off Amount Payable</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_WaiverOffAmountPayable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Waiver off amount payable.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_RelatedPartyServiceFeeWaiver_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Service fee waiver</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_RelatedPartyServiceFeeWaiver_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Related Party Service Fee Waiver</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_RelatedPartyServiceFeeWaiver_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Related party service fee waiver.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LegalFees_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Legal fees</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LegalFees_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Legal Fees</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityFileNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity File Number</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityFileNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity File Number</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityIncorporationStateCountryCode_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Incorporation, State or Country Code</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityIncorporationStateCountryCode_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Incorporation, State or Country Code</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityAddressAddressLine1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Address, Address Line One</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityAddressAddressLine1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Address, Address Line One</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityAddressCityOrTown_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Address, City or Town</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityAddressCityOrTown_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Address, City or Town</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementTable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Statement [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statement [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_PlacementAgentWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Placement Agent Warrants [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_PlacementAgentWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Placement Agent Warrants [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonUnitIssuanceValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance costs</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonUnitIssuanceValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Unit, Issuance Value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_SharesIssuableUponExerciseOfCommonStockWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Shares issuable upon exercise of common stock warrants</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_SharesIssuableUponExerciseOfCommonStockWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Shares Issuable Upon Exercise of Common Stock Warrants</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_SharesIssuableUponExerciseOfCommonStockWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Shares issuable upon exercise of common stock warrants.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_LincolnParkMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lincoln Park [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_SeptemberTwentyTwentySixPre-FundedWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">September 2026 Pre-Funded Warrants [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_SeptemberTwentyTwentySixPre-FundedWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">September Twenty Twenty Six Pre-Funded Warrants [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_ELOCMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">ELOC [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SaleOfStockPercentageOfOwnershipBeforeTransaction_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Owing percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SaleOfStockPercentageOfOwnershipBeforeTransaction_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Sale of Stock, Percentage of Ownership before Transaction</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_BalanceSheetComponentsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Balance Sheet Components [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_IssuanceOfCommonStockToLincolnParkAsCommitmentFee_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock to Lincoln Park as commitment fee</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_IssuanceOfCommonStockToLincolnParkAsCommitmentFee_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Issuance of Common Stock to Lincoln Park as Commitment Fee</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_IssuanceOfCommonStockToLincolnParkAsCommitmentFee_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Issuance of Common Stock to Lincoln Park as Commitment Fee.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_SaleOfSecurities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Sale of securities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_SaleOfSecurities_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount of sale of securities.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_WorkOrderNo.1Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Work Order No. 1 [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_ConsultingAccountingAndLegalFees_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Consulting, Accounting and Legal fees</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_ConsultingAccountingAndLegalFees_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount of consulting, accounting and legal fees.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_ContractResearchAndLabEquipment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Contract Research and Lab Equipment</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_ContractResearchAndLabEquipment_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount of contract research &amp; lab equipment.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LineOfCreditFacilityCommitmentFeePercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Project management fee percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LineOfCreditFacilityCommitmentFeePercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Line of Credit Facility, Commitment Fee Percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_IssuanceOfCommonStockToLincolnParkAsCommitmentFeeShares_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock to Lincoln Park as commitment fee (in Shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_IssuanceOfCommonStockToLincolnParkAsCommitmentFeeShares_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Issuance of Common Stock to Lincoln Park as Commitment Fee, Shares</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_IssuanceOfCommonStockToLincolnParkAsCommitmentFeeShares_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Issuance of common stock to Lincoln Park as commitment fee, Shares.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_SenlangCollaborationMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Senlang Collaboration [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueOther_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock under Equity Line of Credit</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueOther_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period, Value, Other</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesOther_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock under Equity Line of Credit (in Shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesOther_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period, Shares, Other</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_BoardFeesAndTaxes_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Board Fees and Taxes</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_BoardFeesAndTaxes_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Board fees and taxes.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_FixedFee_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fixed fee</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_FixedFee_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of fixed fee.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_WaiverPaymentValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Waiver payment value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_WaiverPaymentValue_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of  waiver payment.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_IssuanceOfSeriesCCommonStockWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of Series C common stock warrants (net of issuance costs of $217)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_IssuanceOfSeriesCCommonStockWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Issuance of Series C Common Stock Warrants</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_IssuanceOfSeriesCCommonStockWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Issuance of series C common stock warrants.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_IssuanceOfSeriesDCommonStockWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of Series D common stock warrants (net of issuance costs of $205)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_IssuanceOfSeriesDCommonStockWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Issuance of Series D Common Stock Warrants</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_IssuanceOfSeriesDCommonStockWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Issuance of Series D common stock warrants.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_ATMProgramMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">ATM Program [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessDevelopment_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Development fee</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessDevelopment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Development</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_SOWMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">SOW [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_StockIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stock issuance costs</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_StockIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">StockIssuanceCosts</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_StockIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Stock Issuance Costs.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_Pre-FundedWarrantsIssuanceCost_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Pre-funded warrants issuance cost</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_Pre-FundedWarrantsIssuanceCost_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Pre-Funded Warrants Issuance Cost</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_Pre-FundedWarrantsIssuanceCost_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Pre-funded warrants issuance cost.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_CommonStockToRelatedPartiesIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common stock to related parties issuance costs</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_CommonStockToRelatedPartiesIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common stock to related parties issuance costs</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_CommonStockToRelatedPartiesIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Common stock to related parties issuance costs.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_CommonStockWarrantInducementIssuanceCost_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common stock for warrant inducement issuance cost</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_CommonStockWarrantInducementIssuanceCost_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock Warrant Inducement Issuance Cost</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_CommonStockWarrantInducementIssuanceCost_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Common stock warrant inducement issuance cost</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Prepaid expenses and other assets</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase (Decrease) in Prepaid Expense and Other Assets</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestPaidNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash paid for interest</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestPaidNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Paid, Excluding Capitalized Interest, Operating Activity</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statement [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Statement [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Depreciation_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Depreciation expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Depreciation_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Depreciation</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInInvestingActivities_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Cash used in investing activities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInInvestingActivities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash Provided by (Used in) Investing Activity, Including Discontinued Operation</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_Corporatetaxespaid_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash paid for business taxes</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_Corporatetaxespaid_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Corporate Taxes Paid</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_Corporatetaxespaid_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Corporate taxes paid.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Investing activities:</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash Provided by (Used in) Investing Activity, Including Discontinued Operation [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInAccruedLiabilitiesAndOtherOperatingLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued expenses and other liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInAccruedLiabilitiesAndOtherOperatingLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase (Decrease) in Accrued Liabilities and Other Operating Liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Financing activities:</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash Provided by (Used in) Financing Activity, Including Discontinued Operation [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInInterestPayableNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Interest payable</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInInterestPayableNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase (Decrease) in Interest Payable, Net</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EquipmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Lab equipment [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EquipmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equipment [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SaleOfStockConsiderationReceivedOnTransaction_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Consideration received</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SaleOfStockConsiderationReceivedOnTransaction_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Sale of Stock, Consideration Received on Transaction</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_AssetAcquisitionSharesEquityInterestYetToBeIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Asset acquisition, stock to be issued</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_AssetAcquisitionSharesEquityInterestYetToBeIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Asset Acquisition Shares Equity Interest Yet To Be Issued</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_AssetAcquisitionSharesEquityInterestYetToBeIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Asset acquisition shares equity interest yet to be issued.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_AssetAcquisitionSharePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Asset acquisition, stock price per share</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_AssetAcquisitionSharePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Closing price of common stock on the acquisition date</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_AssetAcquisitionSharePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Asset Acquisition, Share Price</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_AssetAcquisitionSharePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Asset acquisition, share price.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsToAcquireInProcessResearchAndDevelopment_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Research and development expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsToAcquireInProcessResearchAndDevelopment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payments to Acquire in Process Research and Development</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_FactorDepositPaid_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Factor deposit paid</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_FactorDepositPaid_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Factor Deposit Paid</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_FactorDepositPaid_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Factor deposit paid.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DividendsPayableDateOfRecordDayMonthAndYear_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Dividend record date</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DividendsPayableDateOfRecordDayMonthAndYear_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Dividends Payable, Date of Record</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightNumberOfSecuritiesCalledByWarrantsOrRights_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Warrants issued</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightNumberOfSecuritiesCalledByWarrantsOrRights_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class of Warrant or Right, Number of Securities Called by Warrants or Rights</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_SaleOfStockWarrantsIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of warrants issued</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_SaleOfStockWarrantsIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Sale of Stock, Warrants Issued</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_SaleOfStockWarrantsIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Sale of stock warrants issued.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueNewIssues_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Aggregate sales price of common stock</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueNewIssues_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock for cash (net of issuance costs)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueNewIssues_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period, Value, New Issues</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_RemainedAvailableForIssuanceOfCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Remained available for issuance of cmmon stock.</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueByMeasurementFrequencyAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Measurement Frequency [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueMeasurementsRecurringMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair Value, Recurring [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueMeasurementsRecurringMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Recurring [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueMeasurementFrequencyDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Measurement Frequency [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueMeasurementFrequencyDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Measurement Frequency [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueByBalanceSheetGroupingTable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair Value, by Balance Sheet Grouping [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueByBalanceSheetGroupingTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, by Balance Sheet Grouping [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueInputsLevel2Member_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Level 2 [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueInputsLevel2Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Inputs, Level 2 [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFour_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2030</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFour_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Liability, to be Paid, Year Four</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountingPoliciesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Summary of Significant Accounting Policies [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Stock-Based Compensation [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/definitionGuidance">Schedule of Summary of Grant Date Fair Value [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfCompensationCostForShareBasedPaymentArrangementsAllocationOfShareBasedCompensationCostsByPlanTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Stock Based Compensation Expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfCompensationCostForShareBasedPaymentArrangementsAllocationOfShareBasedCompensationCostsByPlanTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Cost by Plan [Table Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Basis in Diluted Net Loss Per Share</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Earnings Per Share, Basic and Diluted [Table Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetAcquisitionContingentConsiderationTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Total Cost of Asset Acquisition</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetAcquisitionContingentConsiderationTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Asset Acquisition, Contingent Consideration [Table Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DividendsAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Dividends [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CollaborativeArrangementsAndNoncollaborativeArrangementTransactionsLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Organization and Description of the Business [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CollaborativeArrangementsAndNoncollaborativeArrangementTransactionsLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Collaborative Arrangement and Arrangement Other than Collaborative [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetAcquisitionDateOfAcquisitionAgreement_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Asset acquisition, agreement date</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetAcquisitionDateOfAcquisitionAgreement_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Asset Acquisition, Date of Acquisition Agreement</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetAcquisitionEffectiveDateOfAcquisition_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Asset acquisition, effective date</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetAcquisitionEffectiveDateOfAcquisition_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Asset Acquisition, Effective Date of Acquisition</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetAcquisitionConsiderationTransferredEquityInterestIssuedAndIssuable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Asset acquisition, equity issued</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetAcquisitionConsiderationTransferredEquityInterestIssuedAndIssuable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Asset Acquisition, Consideration Transferred, Equity Interest Issued and Issuable</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_AssetAcquisitionTransactionCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Transaction costs</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_AssetAcquisitionTransactionCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Asset Acquisition Transaction Costs</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_AssetAcquisitionTransactionCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Asset acquisition transaction costs.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SaleOfStockNumberOfSharesIssuedInTransaction_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Shares issued in transaction</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SaleOfStockNumberOfSharesIssuedInTransaction_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Sale of Stock, Number of Shares Issued in Transaction</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharesIssuedPricePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Shares Issued, Price Per Share</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharesIssuedPricePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Preferred stock price per share</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativesPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Derivative Liability</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativesPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Derivatives, Policy [Policy Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NewAccountingPronouncementsPolicyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Recent Accounting Pronouncements</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NewAccountingPronouncementsPolicyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">New Accounting Pronouncements, Policy [Policy Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PurchaseObligation_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Purchase condition</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PurchaseObligation_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Purchase Obligation, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Shares issued</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Shares, Issued</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfEarningsPerShareBasicByCommonClassTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Earnings Per Share, Basic, by Common Class, Including Two-Class Method [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareBasicLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net Loss Per Share [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareBasicLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Earnings Per Share, Basic, by Common Class, Including Two Class Method [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementEquityComponentsAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity Components [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementEquityComponentsAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Equity Components [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_RepurchaseAgreementCounterpartyNameDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Counterparty Name [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_AtTheMarketProgramMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">At-The-Market Program [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_AtTheMarketProgramMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">At-The-Market</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_AtTheMarketProgramMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">At-The-Market Program [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_AtTheMarketProgramMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">At-The-Market Program</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_Pre-FundedWarrantMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Pre-Funded Warrant [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_Pre-FundedWarrantMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Pre-Funded Warrant [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_Pre-FundedWarrantMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Pre-Funded Warrant [Member].</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_WarrantExerciseAndInducementLetterAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Warrant Exercise and Inducement Letter Agreement [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_WarrantExerciseAndInducementLetterAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrant Exercise And Inducement Letter Agreement [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_WarrantExerciseAndInducementLetterAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Warrant exercise and inducement letter agreement.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestructuringAndRelatedCostNumberOfPositionsEliminated_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of employees eliminated</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_NovemberTwoThousandTwentyFivePreFundedWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">November 2025 Pre Funded Warrants [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_NovemberTwoThousandTwentyFivePreFundedWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">November Two Thousand Twenty Five Pre Funded Warrants [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_NovemberTwoThousandTwentyFivePreFundedWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">November 2025 Pre-Funded Warrants.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_RegistrationRightsAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Registration Rights Agreement [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_RegistrationRightsAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Registration Rights Agreement [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_RegistrationRightsAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Registration rights agreement.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_RestructuringAndRelatedCostNumberOfFullTimeEmployees_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of full time employees</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_RestructuringAndRelatedCostNumberOfFullTimeEmployees_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Restructuring and related cost number of full time employees.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_November2025CommonWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">November 2025 Common Warrants [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_November2025CommonWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">November 2025 Common Warrants [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_November2025CommonWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">November 2025 common warrants.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_RegisteredDirectOfferingAndWarrantInducementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Registered Direct Offering and Warrant Inducement [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_RegisteredDirectOfferingAndWarrantInducementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Registered Direct Offering And Warrant Inducement [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_RegisteredDirectOfferingAndWarrantInducementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Registered direct offering and warrant inducement.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueBalanceSheetGroupingFinancialStatementCaptionsLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Schedule of Fair Value, Assets and Liabilities Measured on Recurring Basis [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueBalanceSheetGroupingFinancialStatementCaptionsLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PrepaidExpenseCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Prepaid expenses</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_IssuanceOfCommonStockShareToRelatedPartiesForCash_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Issuance of Common Stock Share to Related Parties For Cash</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_IssuanceOfCommonStockShareToRelatedPartiesForCash_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Issuance of common stock share to related parties for cash.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_IssuanceOfCommonStockAtTheMarketOfferingShares_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock in connection with at-the-market offering (net of issuance costs of $84) (in Shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_IssuanceOfCommonStockAtTheMarketOfferingShares_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Issuance of Common Stock at the Market Offering, Shares</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_IssuanceOfCommonStockAtTheMarketOfferingShares_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Issuance of common stock at the market offering shares.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherAssetsCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other current assets</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentTypeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Long-Lived Asset, Class [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentByTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Long-Lived Tangible Asset [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentByTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Long-Lived Asset, Class [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfPropertyPlantAndEquipmentTable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Property, Plant and Equipment [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfPropertyPlantAndEquipmentTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Property, Plant, and Equipment [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Summary of Property and Equipment, Net [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Property, Plant, and Equipment [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Cash, cash equivalents and restricted cash at beginning of period</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Cash, cash equivalents and restricted cash at end of period</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash, Cash Equivalent, Restricted Cash, and Restricted Cash Equivalent, Continuing Operation</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInOperatingActivities_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Cash used in operating activities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInOperatingActivities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash Provided by (Used in) Operating Activity, Including Discontinued Operation</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ResearchAndDevelopmentAssetAcquiredOtherThanThroughBusinessCombinationWrittenOff_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Acquired in-process research and development</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ResearchAndDevelopmentAssetAcquiredOtherThanThroughBusinessCombinationWrittenOff_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Research and Development Asset Acquired in Transaction Other than Business Combination or Joint Venture Formation, Writeoff</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInOperatingCapitalAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Changes in operating assets and liabilities:</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInOperatingCapitalAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Adjustment to Reconcile Net Income to Cash Provided by (Used in) Operating Activity, Increase (Decrease) in Operating Capital [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PlanNameAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Plan Name [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PlanNameAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Plan Name [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_CommonStockWarrantsIssuanceCost_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common stock warrants issuance cost</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_CommonStockWarrantsIssuanceCost_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock Warrants Issuance Cost</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_CommonStockWarrantsIssuanceCost_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Common stock warrants issuance cost.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_CommonStockWarrantsToRelatedPartiesIssuanceCost_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common stock warrants to related parties issuance cost</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_CommonStockWarrantsToRelatedPartiesIssuanceCost_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock Warrants to Related Parties Issuance Cost</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_CommonStockWarrantsToRelatedPartiesIssuanceCost_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Common Stock Warrants to Related Parties Issuance Cost</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementOfCashFlowsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statement of Cash Flows [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_ProceedsFromIssuanceOfCommonStockPreFundedWarrantsAndCommonStockWarrantsNetOfIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Proceeds from the issuance of common stock, pre-funded warrants and common stock warrants, net of issuance costs</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_ProceedsFromIssuanceOfCommonStockPreFundedWarrantsAndCommonStockWarrantsNetOfIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds From Issuance Of Common Stock Pre Funded Warrants and Common Stock Warrants Net of Issuance Costs</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_ProceedsFromIssuanceOfCommonStockPreFundedWarrantsAndCommonStockWarrantsNetOfIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Proceeds from issuance of common stock pre funded warrants and common stock warrants net of issuance costs.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SignificantAccountingPoliciesTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">SUMMARY OF SIGNIFICANT ACCOUNTING POLICIES</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SignificantAccountingPoliciesTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Significant Accounting Policies [Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CreditFacilityAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Credit Facility [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CreditFacilityAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Credit Facility [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LossContingenciesLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Commitments and Contingencies [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LossContingenciesLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loss Contingencies [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Present value of operating lease obligations</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Present value of operating lease obligations</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Lease, Liability</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_IssuanceOfCommonStockWarrantsToRelatedParties_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock warrants to related parties (net of issuance cost of $45)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_IssuanceOfCommonStockWarrantsToRelatedParties_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Issuance of Common Stock Warrants to Related Parties</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_IssuanceOfCommonStockWarrantsToRelatedParties_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Issuance of common stock warrants to related parties.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_StatementGeographicalAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Statement Geographical Axis [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_StatementGeographicalAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Geographical [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deposit amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Line of Credit Facility, Maximum Borrowing Capacity</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommitmentsAndContingenciesDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Commitments and Contingencies [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LossContingenciesTable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loss Contingencies [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LossContingenciesTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loss Contingencies [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueNextTwelveMonths_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2027</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueNextTwelveMonths_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Liability, to be Paid, Year One</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearTwo_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2028</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearTwo_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Liability, to be Paid, Year Two</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_DebtInstrumentExitFee_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Debt instrument, exit fee</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_DebtInstrumentExitFee_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument Exit Fee</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_DebtInstrumentExitFee_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Debt instrument exit fee.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LoansPayable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loans Payable</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LoansPayable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loans Payable</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Organization and Description of the Business [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_JefferiesLLCMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Jefferies LLC [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_JefferiesLLCMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Jefferies LLC [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_JefferiesLLCMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Jefferies LLC</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueDisclosuresTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">FAIR VALUE MEASUREMENTS</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueDisclosuresTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Disclosures [Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_O2026Q4DividendsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Warrant Dividend [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_O2026Q4DividendsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">O 2026 Q4 Dividends [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_O2026Q4DividendsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">O 2026 Q4 dividends.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_CounterpartyNameAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Counterparty Name [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_PreFundedWarrantAndCommonWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Pre Funded Warrant And Common Warrants [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_PreFundedWarrantAndCommonWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Pre Funded Warrant And Common Warrants [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_PreFundedWarrantAndCommonWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Pre funded&#160;warrant and common warrants.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfStockByClassTable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Stock by Class [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfStockByClassTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock, Class of Stock [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DividendsDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Dividends [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_PurchaseAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Purchase Agreement [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_PurchaseAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Purchase Agreement [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_PurchaseAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Purchase Agreement.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RepaymentsOfDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Repayment of loan</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RepaymentsOfDebt_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Repayment of loan</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RepaymentsOfDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Repayments of Debt</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DividendsCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Dividends</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DividendsCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Dividends, Common Stock</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EquityMethodInvestmentOwnershipPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Ownership percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EquityMethodInvestmentOwnershipPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity Method Investment, Ownership Percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationByAssetClassDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Asset Class [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationByAssetClassDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Asset Class [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueByAssetClassAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Asset Class [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueByAssetClassAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Asset Class [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancialInstrumentAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financial Instrument [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Liabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Liabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Liabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liabilities, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockParOrStatedValuePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Preferred stock, par or stated value per share</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockParOrStatedValuePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Preferred Stock, Par or Stated Value Per Share</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockSharesAuthorized_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Preferred stock, shares authorized</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockSharesAuthorized_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Preferred Stock, Shares Authorized</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EmployeeServiceShareBasedCompensationAllocationOfRecognizedPeriodCostsLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Stock Based Compensation Expense [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EmployeeServiceShareBasedCompensationAllocationOfRecognizedPeriodCostsLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TemporaryEquityDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stockholders' Equity (Deficit) [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SeriesAPreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Series A Participating Preferred Stock [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SeriesAPreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Series A Preferred Stock [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RightsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Rights Plan [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RightsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Rights [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsForfeituresInPeriod_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel">Cancelled and forfeited (in shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsForfeituresInPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Forfeitures in Period</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Outstanding at beginning (in dollars per share)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Outstanding (in dollars per share)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Outstanding at end (in dollars per share)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Outstanding, Weighted Average Exercise Price</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Granted (in dollars per share)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangements by Share-Based Payment Award, Options, Grants in Period, Weighted Average Exercise Price</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsForfeituresInPeriodWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cancelled and forfeited (in dollars per share)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsForfeituresInPeriodWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangements by Share-Based Payment Award, Options, Forfeitures in Period, Weighted Average Exercise Price</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestExercisableNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Share-based Compensation Arrangement by Share-based Payment Award, Options, Vested and Expected to Vest, Exercisable, Number</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestExercisableNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Vested and Expected to Vest, Exercisable, Number</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestExercisableWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Share-based Compensation Arrangement by Share-based Payment Award, Options, Vested and Expected to Vest, Exercisable, Weighted Average Exercise Price</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestExercisableWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Vested and Expected to Vest, Exercisable, Weighted Average Exercise Price</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Share-based Compensation Arrangement by Share-based Payment Award, Options, Exercisable, Number</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Exercisable, Number</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Share-based Compensation Arrangement by Share-based Payment Award, Options, Exercisable, Weighted Average Exercise Price</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Exercisable, Weighted Average Exercise Price</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GranteeStatusDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Grantee Status [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GranteeStatusDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Grantee Status [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedPaymentArrangementEmployeeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Share-based Payment Arrangement, Employee [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedPaymentArrangementEmployeeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Employee [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardFairValueAssumptionsExpectedTerm1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Expected term (in years)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardFairValueAssumptionsExpectedTerm1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Fair Value Assumptions, Expected Term</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRateMinimum_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Expected volatility, Minimum</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRateMinimum_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Fair Value Assumptions, Expected Volatility Rate, Minimum</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CompensationAndRetirementDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Retirement Plan [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLossAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Numerator:</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLossAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Net Income (Loss) Attributable to Parent [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_ShareBasedCompensationVolatilityWeightingPeerHistoricalRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Industry peers volatility rate</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_ShareBasedCompensationVolatilityWeightingPeerHistoricalRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share Based Compensation Volatility Weighting Peer Historical Rate</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_ShareBasedCompensationVolatilityWeightingPeerHistoricalRate_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Share Based Compensation Volatility Weighting Peer Historical Rate</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_VotingPowerPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Voting power, percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_VotingPowerPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">voting power</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_WeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Weighted-average grant date fair value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_WeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Weighted-average grant date fair value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsExercisesInPeriodWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Exercised (in dollars per share)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsExercisesInPeriodWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangements by Share-Based Payment Award, Options, Exercises in Period, Weighted Average Exercise Price</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsOutstandingWeightedAverageRemainingContractualTerm2_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Weighted Average Remaining Contractual Term</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsOutstandingWeightedAverageRemainingContractualTerm2_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Outstanding, Weighted-Average Remaining Contractual Term</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingIntrinsicValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Intrinsic Value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingIntrinsicValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Outstanding, Intrinsic Value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedAndExpectedToVestExercisableWeightedAverageRemainingContractualTerm1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Share-based Compensation Arrangement by Share-based Payment Award, Options, Vested and Expected to Vest, Exercisable, Weighted Average Remaining Contractual Term</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedAndExpectedToVestExercisableWeightedAverageRemainingContractualTerm1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Vested and Expected to Vest, Exercisable, Weighted-Average Remaining Contractual Term</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestExercisableAggregateIntrinsicValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Share-based Compensation Arrangement by Share-based Payment Award, Options, Vested and Expected to Vest, Exercisable, Aggregate Intrinsic Value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestExercisableAggregateIntrinsicValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Vested and Expected to Vest, Exercisable, Aggregate Intrinsic Value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsExercisableWeightedAverageRemainingContractualTerm1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Share-based Compensation Arrangement by Share-based Payment Award, Options, Exercisable, Weighted Average Remaining Contractual Term</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsExercisableWeightedAverageRemainingContractualTerm1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Exercisable, Weighted-Average Remaining Contractual Term</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsExercisableIntrinsicValue1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Share-based Compensation Arrangement by Share-based Payment Award, Options, Exercisable, Intrinsic Value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsExercisableIntrinsicValue1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Exercisable, Intrinsic Value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRateMaximum_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Expected volatility, maximum</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRateMaximum_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Fair Value Assumptions, Expected Volatility Rate, Maximum</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Risk-free interest rate</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Fair Value Assumptions, Risk Free Interest Rate</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Dividends</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Fair Value Assumptions, Expected Dividend Rate</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_IndividualsWhoWereNotPreviouslyEmployeesOrDirectorsOfCompanyMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Individuals who were not Previously Employees or Directors of Company [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_IndividualsWhoWereNotPreviouslyEmployeesOrDirectorsOfCompanyMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Individuals Who Were Not Previously Employees or Directors Of Company [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_IndividualsWhoWereNotPreviouslyEmployeesOrDirectorsOfCompanyMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Individuals who were not previously employees or directors of company.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardPurchasePriceOfCommonStockPercent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Exercise price, percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardPurchasePriceOfCommonStockPercent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Purchase Price of Common Stock, Percent</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardVestingPeriod1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Vest over years</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardVestingPeriod1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Award Vesting Period</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_AmendedAndRestatedTwoThousandTwentyThreeEquityIncentivePlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Amended and Restated 2023 Equity Incentive Plan [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_AmendedAndRestatedTwoThousandTwentyThreeEquityIncentivePlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Amended and Restated Two Thousand Twenty Three Equity Incentive Plan [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_AmendedAndRestatedTwoThousandTwentyThreeEquityIncentivePlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amended and restated two thousand twenty three equity incentive plan.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Granted (in shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Grants in Period, Gross</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardAcceleratedVestingNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accelerated vesting of stock options</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardAcceleratedVestingNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Accelerated Vesting, Number</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardPlanModificationIncrementalCompensationCost_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Incremental compensation cost, recognized</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardPlanModificationIncrementalCompensationCost_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Plan Modification, Incremental Cost</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_ReversalOfStockBasedCompensationExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Reversal of stock based compensation expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_ReversalOfStockBasedCompensationExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Reversal Of Stock Based Compensation Expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_ReversalOfStockBasedCompensationExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Reversal of stock based compensation expense.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_ShareBasedCompensationArrangementByShareBasedPaymentAwardPeriodOfAutomaticIncreaseToOutstandingStockMaximum_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common stock reserved, percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_ShareBasedCompensationArrangementByShareBasedPaymentAwardPeriodOfAutomaticIncreaseToOutstandingStockMaximum_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-based Compensation Arrangement by Share-based Payment Award, Period of Automatic Increase to Outstanding Stock Maximum</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_ShareBasedCompensationArrangementByShareBasedPaymentAwardPeriodOfAutomaticIncreaseToOutstandingStockMaximum_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Share-based Compensation Arrangement by Share-based Payment Award, Period of Automatic Increase to Outstanding Stock Maximum</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedPeriodForRecognition1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted-average period</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedPeriodForRecognition1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Period for Recognition</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockCapitalSharesReservedForFutureIssuance_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common stock, capital shares reserved for future issuance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockCapitalSharesReservedForFutureIssuance_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock, Capital Shares Reserved for Future Issuance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromWarrantExercises_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Cash proceeds from exercise of warrants</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromWarrantExercises_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Warrant Exercises</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_Dr.AngelMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Dr. Angel [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_YearTwoMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Year Two [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_LotusCapitalBVILimitedMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lotus Capital BVI Limited [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_YearThreeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Year Three [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_ErigenMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Erigen [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesNewIssues_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Purchase price</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesNewIssues_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock for cash (net of issuance costs) (in Shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesNewIssues_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period, Shares, New Issues</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_UnpaidRent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unpaid rent</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_UnpaidRent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">unpaid rent</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_UnpaidRent_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of outstanding rent.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_InitialLicenseFee_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Initial license fee</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_InitialLicenseFee_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Initial License Fee</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_InitialLicenseFee_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of initial license fee.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_RoyaltyOnNetSalesPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Royalty on net sales percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_RoyaltyOnNetSalesPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Royalty on Net Sales Percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_RoyaltyOnNetSalesPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of royalty on net sales.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SaleOfStockPercentageOfOwnershipAfterTransaction_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Ownership percentage after issuance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SaleOfStockPercentageOfOwnershipAfterTransaction_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Sale of Stock, Percentage of Ownership after Transaction</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RelatedPartyTransactionAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Related Party Transaction [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherCommitment_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Funding commitment</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherCommitment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Commitment, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_BeneficialOwnerPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Beneficial owner percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_BeneficialOwnerPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Beneficial Owner Percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_BeneficialOwnerPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represents the percentage of beneficial owner.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityEmergingGrowthCompany_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Emerging Growth Company</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityEmergingGrowthCompany_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Emerging Growth Company</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityCommonStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Common Stock, Shares Outstanding</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityCommonStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Common Stock, Shares Outstanding</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentFiscalYearFocus_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Document Fiscal Year Focus</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentFiscalYearFocus_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Fiscal Year Focus</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_AmendmentFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Amendment Flag</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_AmendmentFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Amendment Flag</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_SecurityExchangeName_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Security Exchange Name</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_SecurityExchangeName_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Security Exchange Name</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountsPayableCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accounts payable</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountsPayableCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accounts Payable, Current</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsCurrentAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Current assets:</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsCurrentAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Assets, Current [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesCurrentAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Current liabilities:</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesCurrentAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liabilities, Current [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Assets [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommitmentsAndContingencies_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Commitments and contingencies (Note 5)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommitmentsAndContingencies_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Commitments and Contingencies</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PrepaidExpenseAndOtherAssetsCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Prepaid expenses and other current assets</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PrepaidExpenseAndOtherAssetsCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PrepaidExpenseAndOtherAssetsCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Prepaid Expense and Other Assets, Current</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseLiabilityCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating lease liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseLiabilityCurrent_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel">Less: current portion</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseLiabilityCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Lease, Liability, Current</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseRightOfUseAsset_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating lease right-of-use assets</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseRightOfUseAsset_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Lease, Right-of-Use Asset</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EmployeeRelatedLiabilitiesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued compensation</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EmployeeRelatedLiabilitiesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Employee-related Liabilities, Current</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherAssetsNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Other noncurrent assets</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherAssetsNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Assets, Noncurrent</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total current liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liabilities, Current</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common stock, shares outstanding</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock, Shares, Outstanding</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeStatementAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Statement [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestExpenseNonoperating_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Interest expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestExpenseNonoperating_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Expense, Nonoperating</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredCompensationArrangementWithIndividualExcludingShareBasedPaymentsAndPostretirementBenefitsByTypeOfDeferredCompensationAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Bonus and Profit Sharing Arrangements, Individual Contracts, Type of Deferred Compensation [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_PercentageOfBeneficialOwnershipLimitationOfClassOfWarrantExercisableOnlyForCash_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percentage of beneficial ownership limitation of class of warrant exercisable only for cash</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_PercentageOfBeneficialOwnershipLimitationOfClassOfWarrantExercisableOnlyForCash_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percentage Of Beneficial Ownership Limitation Of Class Of Warrant Exercisable Only For Cash</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_PercentageOfBeneficialOwnershipLimitationOfClassOfWarrantExercisableOnlyForCash_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of beneficial ownership limitation of class of warrant exercisable only for cash.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_AdvisoryFees_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Advisory fees</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_AdvisoryFees_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Advisory fees</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_AdvisoryFees_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Advisory fees.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subsequent Events [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NumberOfOperatingSegments_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of operating segment</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NumberOfOperatingSegments_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Number of Operating Segments</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SegmentReportingExpenseInformationUsedByCodmDescription_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Segment Reporting, Expense Information Used by CODM, Description</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredBonusAndProfitSharingArrangementIndividualContractTypeOfDeferredCompensationDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Bonus and Profit Sharing Arrangement, Individual Contract, Type of Deferred Compensation [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InProcessResearchAndDevelopmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">In Process Research and Development [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IndefiniteLivedIntangibleAssetsByMajorClassAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Intangible Asset, Indefinite-Lived, Class [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_FinancingCostsRelatedToEquityLineOfCredit_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Financing costs related to equity line of credit</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_FinancingCostsRelatedToEquityLineOfCredit_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Costs Related to Equity Line of Credit</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_FinancingCostsRelatedToEquityLineOfCredit_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of financing costs related to equity line of credit.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RelatedPartyTransactionDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Related Party Transaction [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_YearOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Year One [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SegmentReportingAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Segment Reporting [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_CommonStockWarrantDividend_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common stock warrant dividend</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_CommonStockWarrantDividend_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common stock warrant dividend</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_CommonStockWarrantDividend_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Common stock warrant dividend.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EmployeeStockOptionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Options to purchase common stock [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentType_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Document Type</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentType_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Type</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_SeriesAJuniorParticipatingPreferredPurchaseRightsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Series A Junior Participating Preferred Purchase Rights</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_SeriesAJuniorParticipatingPreferredPurchaseRightsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Series A Junior Participating Preferred Purchase Rights [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_SeriesAJuniorParticipatingPreferredPurchaseRightsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Series a junior participating preferred purchase rights.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ResearchAndDevelopmentExpenseExcludingAcquiredInProcessCost_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Research and development</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ResearchAndDevelopmentExpenseExcludingAcquiredInProcessCost_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Research and Development Expense (Excluding Acquired in Process Cost)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherNonoperatingIncomeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Interest and other income, net</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherNonoperatingIncomeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Nonoperating Income (Expense)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingIncomeLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Loss from operations</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingIncomeLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Income (Loss)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherNonoperatingIncomeExpenseAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other income (expense), net:</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherNonoperatingIncomeExpenseAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Nonoperating Income (Expense) [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_AcquiredIn-ProcessResearchAndDevelopment_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Acquired in-process research and development</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_AcquiredIn-ProcessResearchAndDevelopment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Acquired In - Process Research And Development</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_AcquiredIn-ProcessResearchAndDevelopment_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Acquired in - process research and development.</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_ExerciseOfPreFundedWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Exercise Of Pre-funded Warrants</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_ExerciseOfPreFundedWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Exercise of pre-funded warrants.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_ContributionOfServicesFromRelatedParty_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Contribution of services from related party</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_ContributionOfServicesFromRelatedParty_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Contribution of Services from Related Party</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_ContributionOfServicesFromRelatedParty_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Contribution of services from related party.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetAcquisitionContingentConsiderationLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Asset acquisition expensed</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetAcquisitionContingentConsiderationLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Asset Acquisition, Contingent Consideration, Liability</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentTransitionReport_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Document Transition Report</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentTransitionReport_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Transition Report</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Balance (in Shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Balance (in Shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Shares, Outstanding</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Balance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Balance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity, Attributable to Parent</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RetainedEarningsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accumulated Deficit</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RetainedEarningsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Retained Earnings [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_IssuanceOfPre-FundedWarrantValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of pre-funded warrants (net of issuance costs)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_IssuanceOfPre-FundedWarrantValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Issuance Of Pre-Funded Warrant Value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_IssuanceOfPre-FundedWarrantValue_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Issuance of pre-funded warrant value.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_IssuanceOfCommonStockForWarrantInducementShares_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock for warrant inducement (net of issuance costs of $289) (in Shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_IssuanceOfCommonStockForWarrantInducementShares_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Issuance Of Common Stock For Warrant Inducement Shares</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_IssuanceOfCommonStockForWarrantInducementShares_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Issuance of common stock for warrant inducement shares</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsToAdditionalPaidInCapitalShareBasedCompensationStockOptionsRequisiteServicePeriodRecognition_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stock-based compensation</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsToAdditionalPaidInCapitalShareBasedCompensationStockOptionsRequisiteServicePeriodRecognition_lbl" xlink:role="http://www.xbrl.org/2003/role/label">APIC, Share-Based Payment Arrangement, Option, Increase for Cost Recognition</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_IssuanceOfCommonStockSharesUnderEquityPlanAwards_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock under equity plan awards (in Shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_IssuanceOfCommonStockSharesUnderEquityPlanAwards_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Issuance of Common Stock Shares under Equity Plan Awards</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_IssuanceOfCommonStockSharesUnderEquityPlanAwards_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Issuance of common stock shares under equity plan awards.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementOfStockholdersEquityAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statement of Stockholders' Equity [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommitmentsAndContingenciesDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">COMMITMENTS AND CONTINGENCIES</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommitmentsAndContingenciesDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Commitments and Contingencies Disclosure [Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loan Payable [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquityNoteDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">STOCKHOLDERS&#8217; EQUITY (DEFICIT)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquityNoteDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity [Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PensionAndOtherPostretirementBenefitsDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">RETIREMENT PLAN</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PensionAndOtherPostretirementBenefitsDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Retirement Benefits [Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SegmentReportingDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">SEGMENT REPORTING</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SegmentReportingDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Segment Reporting [Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RelatedPartyTransactionsDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">RELATED PARTY TRANSACTIONS</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RelatedPartyTransactionsDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Related Party Transactions Disclosure [Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BasisOfAccountingPolicyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Basis of Presentation</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BasisOfAccountingPolicyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Basis of Accounting, Policy [Policy Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UseOfEstimates_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Use of Estimates</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UseOfEstimates_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Use of Estimates, Policy [Policy Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfFairValueAssetsAndLiabilitiesMeasuredOnRecurringBasisTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Fair Value, Assets and Liabilities Measured on Recurring Basis</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfFairValueAssetsAndLiabilitiesMeasuredOnRecurringBasisTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Fair Value, Assets and Liabilities Measured on Recurring Basis [Table Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of Property and Equipment, Net</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Property, Plant, and Equipment [Table Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityMaturityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Future Minimum Lease Payments</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityMaturityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Liability, to be Paid, Maturity [Table Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ResearchAndDevelopmentArrangementContractToPerformForOthersByTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Research and Development Arrangement, Contract to Perform for Others, Type [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ResearchAndDevelopmentArrangementContractToPerformForOthersTypeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Research and Development Arrangement, Contract to Perform for Others, Type [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LicenseAgreementTermsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">License Agreement [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LicenseAgreementTermsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">License Agreement Terms [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_ProductOrServiceAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Product and Service [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_ProductsAndServicesDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Product and Service [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RoyaltyMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Royalty [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_NetSalePercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Net sale percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_NetSalePercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of net sales.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedCash_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Restricted Cash</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_AccruedLiabilitiesConsistAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Accrued Liabilities [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DirectTaxesAndLicensesCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">License fee</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DirectTaxesAndLicensesCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cost, Direct Tax and License</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating activities:</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash Provided by (Used in) Operating Activity, Including Discontinued Operation [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInAccountsPayableTrade_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accounts payable</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInAccountsPayableTrade_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase (Decrease) in Accounts Payable, Trade</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Adjustments to reconcile net loss to net cash used in operating activities:</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Adjustment to Reconcile Net Income to Cash Provided by (Used in) Operating Activity [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_ProceedsFromIssuanceOfCommonStockAndCommonStockWarrantsToRelatedPartyNetOfIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Proceeds from the issuance of common stock and common stock warrants to related party, net of issuance costs</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_ProceedsFromIssuanceOfCommonStockAndCommonStockWarrantsToRelatedPartyNetOfIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds From Issuance of Common Stock and Common Stock Warrants to Related Party Net of Issuance Costs</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_ProceedsFromIssuanceOfCommonStockAndCommonStockWarrantsToRelatedPartyNetOfIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Proceeds from issuance of common stock and common stock warrants to related party net of issuance costs.</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_NoncashInterestAndOtherExpenseNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Non-cash interest and other expense, net</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_NoncashInterestAndOtherExpenseNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Noncash interest and other expense, net</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_NoncashInterestAndOtherExpenseNet_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Noncash interest and other expense, net</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInFinancingActivities_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Cash provided by financing activities</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_ResearchAndDevelopmentExpenseFundedByRelatedPartyContributionOfServices_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Research and development expense funded by related party contribution of services</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_ResearchAndDevelopmentExpenseFundedByRelatedPartyContributionOfServices_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Research and Development Expense Funded by Related Party Contribution of Services</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_ResearchAndDevelopmentExpenseFundedByRelatedPartyContributionOfServices_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Research and development expense funded by related party contribution of services.</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_SeriesCCommonStockWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Series C Common Stock Warrants</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_SeriesCCommonStockWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Series C Common Stock Warrants [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_SeriesDCommonStockWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Series D Common Stock Warrants</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_SeriesDCommonStockWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Series D Common Stock Warrants [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_PurchaseOfNumberOfSharesContingentlyIssuable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Purchase of contingently shares issued</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_ScheduleOfPrepaidExpensesAndOtherCurrentAssetTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Prepaid Expenses and Other Current Asset</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_ScheduleOfPrepaidExpensesAndOtherCurrentAssetTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Prepaid Expenses And Other Current Asset [Table Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_ScheduleOfPrepaidExpensesAndOtherCurrentAssetTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Schedule Of Prepaid Expenses And Other Current Asset</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfAccruedLiabilitiesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Accrued Liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfAccruedLiabilitiesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Accrued Liabilities [Table Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfShareBasedCompensationStockOptionsActivityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of Stock Options</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfShareBasedCompensationStockOptionsActivityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Option, Activity [Table Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestOutstandingTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of Information About Stock Options Outstanding</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestOutstandingTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangements by Share-Based Payment Award, Options, Vested and Expected to Vest, Outstanding [Table Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfShareBasedPaymentAwardStockOptionsValuationAssumptionsTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of Grant Date Fair Value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfShareBasedPaymentAwardStockOptionsValuationAssumptionsTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Share-Based Payment Award, Stock Options, Valuation Assumptions [Table Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfAntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Antidilutive Securities Excluded from Computation of Earnings Per Share</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfAntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Antidilutive Securities Excluded from Computation of Earnings Per Share [Table Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_AssetAcquisitionMaximumFundingCommitment_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Asset acquisition, maximum funding commitment</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_AssetAcquisitionMaximumFundingCommitment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Asset Acquisition Maximum Funding Commitment</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_AssetAcquisitionMaximumFundingCommitment_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Asset acquisition maximum funding commitment.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_PercentageOfCommissionOnSaleOfStock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percentage of commission on sale of stock</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_PercentageOfCommissionOnSaleOfStock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percentage Of Commission On Sale Of Stock</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_PercentageOfCommissionOnSaleOfStock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of commission on sale of stock.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceOfCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Gross proceeds</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceOfCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Issuance of Common Stock</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_NetProceedsFromIssuanceOfCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net proceeds from sales of common stock</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_NetProceedsFromIssuanceOfCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Net Proceeds From Issuance Of Common Stock</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_NetProceedsFromIssuanceOfCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Net proceeds from issuance of common stock.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_PublicFloat_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Public float</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_PublicFloat_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Public Float</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_PublicFloat_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Public float.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightNumberOfSecuritiesCalledByEachWarrantOrRight_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Purchase of warrants</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightNumberOfSecuritiesCalledByEachWarrantOrRight_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class of Warrant or Right, Number of Securities Called by Each Warrant or Right</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_ReversalOfFactorDeposit_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Reversal of factor deposit</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_ReversalOfFactorDeposit_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Reversal Of Factor Deposit</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_ReversalOfFactorDeposit_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Reversal of factor deposit.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueMeasurementsFairValueHierarchyDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair Value Hierarchy and NAV [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueMeasurementsFairValueHierarchyDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Hierarchy and NAV [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueInputsLevel1Member_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Level 1 [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueInputsLevel1Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Inputs, Level 1 [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashAndCashEquivalentsFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash and cash equivalents</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashAndCashEquivalentsFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash and Cash Equivalents, Fair Value Disclosure</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueByFairValueHierarchyLevelAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair Value Hierarchy and NAV [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueByFairValueHierarchyLevelAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Hierarchy and NAV [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Assets, Fair Value Disclosure</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total minimum lease payments</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Liability, to be Paid</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseExcludingExchangeRateEffect_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net decrease in cash, cash equivalents and restricted cash</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseExcludingExchangeRateEffect_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash, Cash Equivalent, Restricted Cash, and Restricted Cash Equivalent, Period Increase (Decrease), Excluding Exchange Rate Effect, Including Discontinued Operation</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInOperatingLeaseLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating lease liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInOperatingLeaseLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase (Decrease) in Operating Lease Liability</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LeaseholdImprovementsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Leasehold improvements [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LeaseholdImprovementsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Leasehold Improvements [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_AccruedClinicalTrialLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued clinical trial liability</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_AccruedClinicalTrialLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/label">AccruedClinicalTrialLiability</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_AccruedClinicalTrialLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">AccruedClinicalTrialLiability</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CreditFacilityDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Credit Facility [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CreditFacilityDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Credit Facility [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseTermOfContract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Term of contract</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseTermOfContract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Term of Contract</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_SegmentGeographicalDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Statement Geographical Axis [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_SegmentGeographicalDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Geographical [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">ORGANIZATION AND DESCRIPTION OF THE BUSINESS</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Organization, Consolidation and Presentation of Financial Statements Disclosure [Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_BrisbaneCaliforniaMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Brisbane, California [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_BrisbaneCaliforniaMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Brisbane, California [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_BrisbaneCaliforniaMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Brisbane California.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LetterOfCreditMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Letter of Credit [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LetterOfCreditMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Letter of Credit [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AreaOfRealEstateProperty_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Area of property (in sqft)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AreaOfRealEstateProperty_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Area of Real Estate Property</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_OperatingLeaseCommencementMonthAndYear_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating lease commencement month and year</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_OperatingLeaseCommencementMonthAndYear_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Lease Commencement Month And Year</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_OperatingLeaseCommencementMonthAndYear_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Operating lease commencement month and year.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Rent expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Lease, Expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsRemainderOfFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2026 (excluding nine months ended September 30, 2026)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsRemainderOfFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Liability, to be Paid, Remainder of Fiscal Year</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearThree_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2029</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearThree_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Liability, to be Paid, Year Three</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityUndiscountedExcessAmount_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel">Less: imputed interest</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityUndiscountedExcessAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Liability, Undiscounted Excess Amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdditionalPaidInCapitalMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Additional Paid-In Capital</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdditionalPaidInCapitalMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Additional Paid-in Capital [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesAcquisitions_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock for payment of acquisition (in Shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesAcquisitions_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period, Shares, Acquisitions</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueAcquisitions_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock for payment of acquisition</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueAcquisitions_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period, Value, Acquisitions</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_IssuanceOfPre-FundedWarrantShares_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of pre-funded warrants (net of issuance costs) (in Shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_IssuanceOfPre-FundedWarrantShares_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Issuance Of Pre-Funded Warrant Shares</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_IssuanceOfPre-FundedWarrantShares_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Issuance of pre-funded warrant shares.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsToAdditionalPaidInCapitalWarrantIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock warrants (net of issuance cost of $136)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsToAdditionalPaidInCapitalWarrantIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Adjustments to Additional Paid in Capital, Warrant Issued</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_IssuanceOfCommonStockForWarrantInducement_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock for warrant inducement (net of issuance costs of $289)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_IssuanceOfCommonStockForWarrantInducement_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Issuance Of Common Stock For Warrant Inducement</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_IssuanceOfCommonStockForWarrantInducement_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Issuance of common stock for warrant inducement</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_IssuanceOfCommonStockValueUnderEquityPlanAwards_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock under equity plan awards</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tpst_IssuanceOfCommonStockValueUnderEquityPlanAwards_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Issuance Of Common Stock Value Under Equity Plan Awards</link:label>
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