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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriodWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Vested in Period, Weighted Average Grant Date Fair Value</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_AggregateGrossPurchasePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Aggregate Gross Purchase Price</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_AggregateGrossPurchasePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Aggregate gross purchase price</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="us-gaap_PreferredStockSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Preferred stock, shares issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Preferred stock issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Preferred Stock, Shares Issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_RestrictedStockUnitsWithPerformanceBasedConditionsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Restricted Stock Units With Performance Based Conditions [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_RestrictedStockUnitsWithPerformanceBasedConditionsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Restricted Stock Units With Performance Based Conditions.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ScheduleOfEstimatedFairValueEarnoutSharesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Estimated Fair Value Earnout Shares [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_EarnoutShareLiabilityLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Earnout Share Liability [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInAccountsPayable_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_IncreaseDecreaseInAccountsPayable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase (Decrease) in Accounts Payable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashFlowNoncashInvestingAndFinancingActivitiesDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Supplemental non-cash investing and financing activities:</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashFlowNoncashInvestingAndFinancingActivitiesDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash Flow, Noncash Investing and Financing Activities Disclosure [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_EquityAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stockholders&#8217; Equity (Deficit) [Abstract]</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="us-gaap_ProceedsFromWarrantExercises_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Proceeds from the 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="airj_AggregateEarnoutShares_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percentage of aggregate earnout shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_AggregateEarnoutShares_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of aggregate earnout shares.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_AggregateEarnoutShares_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Aggregate Earnout Shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_IncreaseInBasisDifferenceAsOfGoodwillImpairmentCharges_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase In Basis Difference as of Goodwill Impairment Charges</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_IncreaseInBasisDifferenceAsOfGoodwillImpairmentCharges_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Increase in basis difference as of goodwill impairment charges</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_IncreaseInBasisDifferenceAsOfGoodwillImpairmentCharges_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Increase In Basis Difference as of Goodwill Impairment Charges</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_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>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesAuthorized_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Common stock 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>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_StockIssuedDuringPeriodSharesRetroactiveApplicationOfRecapitalization_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Number of shares in retroactive application of recapitalizatio.</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_DeferredOfferingCostsIncludedInAccruedExpensesAndOtherCurrentLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Offering Costs Included in Accrued Expenses and Other Current Liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_DeferredOfferingCostsIncludedInAccruedExpensesAndOtherCurrentLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Deferred offering costs included in accrued expenses and other current liabilities.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CapitalizationLongtermDebtAndEquityAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Capitalization, Long-Term Debt and Equity [Abstract]</link:label>
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          <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>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_EquityLinePurchaseAgreementProceeds_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Equity line purchase agreement proceeds.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_EquityLinePurchaseAgreementProceeds_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Equity Line Purchase Agreement proceeds (in shares)</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>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_AnnualizedAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Annualized amount.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_AnnualizedAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Annualized Amount</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_InitialRecognitionOfSubjectVestingSharesLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Initial recognition of subject vesting shares liabilities.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_InitialRecognitionOfSubjectVestingSharesLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Initial Recognition Of Subject Vesting Shares Liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_InitialRecognitionOfSubjectVestingSharesLiabilities_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Less: Subject Vesting Shares liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cyd_CybersecurityRiskManagementStrategyAndGovernanceAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cybersecurity Risk Management, Strategy, and Governance [Abstract]</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">Common stock share issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesIssued_lbl" xlink:role="http://www.xbrl.org/2009/role/netLabel">Common stock 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/label">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/terseLabel">Common stock, shares issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cyd_CybersecurityRiskManagementPositionsOrCommitteesResponsibleReportToBoardFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cybersecurity Risk Management Positions or Committees Responsible Report to Board [Flag]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockConvertibleConversionPriceDecrease_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Grant date fair value converted price (in Dollars per share)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockConvertibleConversionPriceDecrease_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock, Convertible, Conversion Price, Decrease</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cyd_CybersecurityRiskBoardOfDirectorsOversightTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cybersecurity Risk Board of Directors Oversight [Text Block]</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="airj_PurchaseOfWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Purchase warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_PurchaseOfWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Number of warrant purchased.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_PurchaseOfWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Purchase Of Warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_RedemptionOfXPDBClassACommonStock_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Less: Redemption of XPDB Class A common stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_RedemptionOfXPDBClassACommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Number of Redemption of XPDB class A common stock.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_RedemptionOfXPDBClassACommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Redemption Of XPDBClass ACommon Stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_JointVentureAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Joint Venture Agreement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_JointVentureAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Joint Venture Agreement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_StockIssueDuringPeriodValueRetroactiveApplicationOfRecapitalization_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Retroactive application of recapitalization</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_StockIssueDuringPeriodValueRetroactiveApplicationOfRecapitalization_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Retroactive application of recapitalization amount.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_StockIssueDuringPeriodValueRetroactiveApplicationOfRecapitalization_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issue During Period Value Retroactive Application Of Recapitalization</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Grants in Period, Weighted Average Grant Date Fair Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted Average Exercise Price, Granted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Weighted-average grant-date fair values (in Dollars per share)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_Share-BasedCompensationArrangementByShare-BasedPaymentAwardEquityInstrumentsOtherThanOptionsReleasedWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-based Compensation Arrangement By Share-based Payment Award Equity Instruments Other Than Options Released Weighted Average Grant Date Fair Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_Share-BasedCompensationArrangementByShare-BasedPaymentAwardEquityInstrumentsOtherThanOptionsReleasedWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Share-based compensation arrangement by share-based payment award equity instruments other than options released weighted average grant date fair value.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_Share-BasedCompensationArrangementByShare-BasedPaymentAwardEquityInstrumentsOtherThanOptionsReleasedWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted Average Grant Date Fair Value, Released</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">Percentage of fair market value</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_InvestmentOwnedBalancePrincipalAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Owned amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InvestmentOwnedBalancePrincipalAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Investment Owned, Balance, Principal Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ChangeInAccountingEstimateLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Summary of Significant Accounting Policies [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/label">Statement [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessAcquisitionAcquireeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationSeparatelyRecognizedTransactionsTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Separately Recognized Transaction [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationSeparatelyRecognizedTransactionsTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Reconciles Business Combination</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">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/label">Warrant [Member]</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="airj_TrueUpShareLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">True Up Shares liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_TrueUpShareLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">True up shares liability.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_TrueUpShareLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/label">True Up Share Liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_SubscriptionAgreementsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Subscription Agreements [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_SubscriptionAgreementsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subscription Agreements [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ClassCommonStockOutstandingPriorToTheBusinessCombination_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">XPDB Class common stock, outstanding prior to the Business Combination</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ClassCommonStockOutstandingPriorToTheBusinessCombination_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Number ofclass common stock, outstanding prior to the business combination.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ClassCommonStockOutstandingPriorToTheBusinessCombination_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class Common Stock Outstanding Prior To The Business Combination</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' equity</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_VehiclesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Vehicles [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_VehiclesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Vehicles [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_EquityLinePurchaseAgreementProceedsValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity Line Purchase Agreement Proceeds Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_EquityLinePurchaseAgreementProceedsValue_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Equity line purchase agreement proceeds value.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_EquityLinePurchaseAgreementProceedsValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Equity Line Purchase Agreement proceeds</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PayablesAndAccrualsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Other Accrued Expenses [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InvestmentInterestRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percentage of interest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InvestmentInterestRate_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Interest rate percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InvestmentInterestRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Investment Interest Rate</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_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted Average Exercise Price, Exercisable at the end of the period</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 Tangible Asset [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_MontanaTechnologiesLLCMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Montana Technologies LLC [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_MontanaTechnologiesLLCMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Montana Technologies LLCMember</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PublicUtilitiesRequestedEquityCapitalStructurePercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Capital contributions percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PublicUtilitiesRequestedEquityCapitalStructurePercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Public Utilities, Requested Equity Capital Structure, Percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cyd_CybersecurityRiskThirdPartyOversightAndIdentificationProcessesFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cybersecurity Risk Third Party Oversight and Identification Processes [Flag]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, at Federal Statutory Income Tax Rate, Percent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Income tax expense (benefit) computed at federal statutory tax rate</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">Newly issued shares price per share (in Dollars 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/verboseLabel">Price per share (in Dollars 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/label">Equity consideration value ascribed to each share</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 Events [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cyd_CybersecurityRiskManagementThirdPartyEngagedFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cybersecurity Risk Management Third Party Engaged [Flag]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentsIncorporatedByReferenceTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Documents Incorporated by Reference [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Goodwill_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Goodwill</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Goodwill_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Goodwill, Ending Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Goodwill_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Goodwill, Beginning Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Goodwill_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Goodwill, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateContinuingOperations_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, Percent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateContinuingOperations_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Effective tax rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InvestmentIncomeInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Interest income</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InvestmentIncomeInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Investment Income, Interest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeLiabilityMeasurementInput_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Derivative liability, measurement input</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeLiabilityMeasurementInput_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Derivative Liability, Measurement Input</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_DeferredTaxAssetsLeaseLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Assets Lease Liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_DeferredTaxAssetsLeaseLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Deferred tax assets lease liabilities.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_DeferredTaxAssetsLeaseLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Lease liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesShareBasedCompensationForfeited_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Shares Issued, Shares, Share-Based Payment Arrangement, Forfeited</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesShareBasedCompensationForfeited_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Awards of forfeited (in Shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ScheduleOfEarnoutShareLiabilityAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Earnout Share Liability [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_AggregatePayment_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Aggregate payment (in Dollars)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_AggregatePayment_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of aggregate payment.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_AggregatePayment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Aggregate Payment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_AccruedBusinessDevelopmentCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Business development</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_AccruedBusinessDevelopmentCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Accrued business development amount classified as current.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_AccruedBusinessDevelopmentCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accrued Business Development Current</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RelatedPartyMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Related Party [Member]</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_EffectiveIncomeTaxRateReconciliationNondeductibleExpenseCostsRelatedToBusinessCombinationPercent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Costs related to Business Combination</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_RestrictedStockUnitsWithMarket-BasedConditionsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Restricted Stock Units with Market-Based Conditions [Member]</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>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ScheduleOfShare-BasedPaymentAwardEquityInstrumentsOtherThanOptionsValuationAssumptionsTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Schedule of share-based payment award, equity instruments other than options, valuation assumptions.</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Basic net income (loss) per share, common stock (in Dollars per share)</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationPriorYearIncomeTaxes_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Prior year true-up</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_PercentageOfAggregateNumberOfIssuedAndOutstandingShares_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percentage of Aggregate Number of Issued and Outstanding Shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_PercentageOfAggregateNumberOfIssuedAndOutstandingShares_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of aggregate number of issued and outstanding shares.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_PercentageOfAggregateNumberOfIssuedAndOutstandingShares_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percentage of aggregate number of issued and outstanding 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">NSO Options</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Options, Balance at beginning</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">Options, Balance at ending</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefitsShareBasedCompensationCost_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stock-based compensation and other accrued expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefitsShareBasedCompensationCost_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Assets, Tax Deferred Expense, Compensation and Benefits, Share-Based Compensation Cost</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationCrossBorderTaxEffectAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, Cross-Border Tax Effect, Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationCrossBorderTaxEffectAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Effective Income Tax Rate Reconciliation, Cross-Border Tax Effect, Amount, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationCrossBorderTaxEffectAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Effect of cross-border tax laws</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityWellKnownSeasonedIssuer_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Well-known Seasoned Issuer</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_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsForfeituresInPeriod_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Options, Forfeited</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceInitialPublicOffering_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Gross proceeds (in Dollars)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceInitialPublicOffering_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Issuance Initial Public Offering</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceInitialPublicOffering_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Net proceeds from offering</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">Price per share (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="us-gaap_SaleOfStockPricePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Offering price per share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_EmployeesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Employees [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_EmployeesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Employees [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_EmployeesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Employees Member</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DisclosureOfCompensationRelatedCostsShareBasedPaymentsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DisclosureOfCompensationRelatedCostsShareBasedPaymentsTextBlock_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_OrganizationConsolidationAndPresentationOfFinancialStatementsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Organization and Business Operations [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ScheduleOfBusinessCombinationAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Business Combination [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LeaseContractualTermAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lease Contractual Term [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LeasesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Leases [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonClassAMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Class A Common Stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonClassAMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Class A</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonClassAMember_lbl" xlink:role="http://www.xbrl.org/2009/role/netLabel">Class A Common Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonClassAMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Class A [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeLeaseDescriptionLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Leases [Line Items]</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="us-gaap_LossContingenciesLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Commitments and Contingencies [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation at Federal Statutory Income Tax Rate, Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Income tax expense (benefit) computed at federal statutory tax rate</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">Exercised of warrants</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="airj_ScheduleOfVestingSharesLiabilityAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Vesting Shares Liability [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_ChiefExecutiveOfficerMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Chief Executive Officer [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_ChiefExecutiveOfficerMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Chief Executive Officer [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerSharePolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net Income (Loss) Per Share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerSharePolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Earnings Per Share, Policy [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_EarnoutShares_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Earnout shares (in Shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_EarnoutShares_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Number of earnout shares.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_EarnoutShares_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Earnout Shares</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="us-gaap_NetCashProvidedByUsedInOperatingActivities_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net 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_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_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_CommonStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common Stock</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 [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/label">Common Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cyd_CybersecurityRiskRoleOfManagementTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cybersecurity Risk Role of Management [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_EarnoutTerm_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Earnout term</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_EarnoutTerm_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Earnout term.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_EarnoutTerm_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Earnout Term</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_LesseeOperatingLeaseLiabilityPaymentsDueYearThree_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_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Less: Accumulated depreciation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accumulated Depreciation, Depletion and Amortization, Property, Plant, and Equipment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Accumulated Depreciation, Depletion and Amortization, Property, Plant, and Equipment, Ending Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Accumulated Depreciation, Depletion and Amortization, Property, Plant, and Equipment, Beginning Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Accumulated Depreciation, Depletion and Amortization, Property, Plant, and Equipment, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Less: Accumulated depreciation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_StockIssuedDuringPeriodValueExerciseOfWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Exercise of warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_StockIssuedDuringPeriodValueExerciseOfWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represent the amount of exercise of warrants.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_StockIssuedDuringPeriodValueExerciseOfWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period Value Exercise Of Warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_EffectiveIncomeTaxRateReconciliationChangesInUnrecognizedTaxBenefitsAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Changes in unrecognized tax benefits</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_EffectiveIncomeTaxRateReconciliationChangesInUnrecognizedTaxBenefitsAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, Changes In Unrecognized Tax Benefits, Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_EffectiveIncomeTaxRateReconciliationChangesInUnrecognizedTaxBenefitsAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Effective income tax rate reconciliation, changes in unrecognized tax benefits, amount.</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="us-gaap_DeferredIncomeTaxLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Liabilities, Gross</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredIncomeTaxLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total deferred tax liability</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_ScheduleOfShareBasedPaymentAwardStockOptionsValuationAssumptionsTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Fair Value of Options Determined Using Black-Scholes Option-Pricing Model</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_OtherNoncashExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Amortization of operating lease right-of-use assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherNoncashExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Noncash Expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Income Taxes</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Tax, Policy [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_NonemployeeDirectorsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Non-employee Directors [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_NonemployeeDirectorsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Nonemployee Directors [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_NonemployeeDirectorsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Nonemployee Directors Member</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_OtherSegmentAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Segment Assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_OtherSegmentAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Other segment assets.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_OtherSegmentAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Other segment assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cyd_CybersecurityRiskMateriallyAffectedOrReasonablyLikelyToMateriallyAffectRegistrantFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cybersecurity Risk Materially Affected or Reasonably Likely to Materially Affect Registrant [Flag]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SupplementalCashFlowInformationAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Supplemental cash flow information:</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SupplementalCashFlowInformationAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Supplemental Cash Flow Information [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_IssuanceOfTrueUpShares_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Issuance of True Up Shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_IssuanceOfTrueUpShares_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Issuance of true up shares.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_IssuanceOfTrueUpShares_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of True Up Shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ReverseRecapitalizationValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Reverse Recapitalization Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ReverseRecapitalizationValue_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Reverse recapitalization, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ReverseRecapitalizationValue_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Reverse recapitalization value.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ReverseRecapitalizationValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Reverse capitalization, net of transaction costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ReimbursementReceived_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Reimbursement Received</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ReimbursementReceived_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Reimbursement received.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ReimbursementReceived_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Reimbursement of expenses received</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_InitialRecognitionOfTrueUpSharesLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Initial recognition of True Up Shares liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_InitialRecognitionOfTrueUpSharesLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Initial recognition of True Up Shares liability.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_InitialRecognitionOfTrueUpSharesLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Initial Recognition Of True Up Shares Liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_InitialRecognitionOfTrueUpSharesLiability_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Less: True Up Shares liability</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 asset</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="airj_StockIssuedDuringPeriodSharesConversionOfClassBCommonStockToClassACommonStockInShares_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period Shares Conversion Of Class B Common Stock To Class A Common Stock in Shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_StockIssuedDuringPeriodSharesConversionOfClassBCommonStockToClassACommonStockInShares_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Conversion of class B common stock to class A common stock.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_StockIssuedDuringPeriodSharesConversionOfClassBCommonStockToClassACommonStockInShares_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Conversion of class B common stock to class A common stock (in Shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsGross_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Assets, Gross</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsGross_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total deferred tax asset</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cyd_CybersecurityRiskBoardCommitteeOrSubcommitteeResponsibleForOversightTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cybersecurity Risk Board Committee or Subcommittee Responsible for Oversight [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_TransactionCostsIncurredInConnectionWithBusinessCombination_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Transaction costs incurred in connection with business combination</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_TransactionCostsIncurredInConnectionWithBusinessCombination_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represent the amount of transaction costs incurred in connection with business combination.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_TransactionCostsIncurredInConnectionWithBusinessCombination_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Transaction Costs Incurred In Connection With Business Combination</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccruedRoyaltiesCurrentAndNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accrued Royalties</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccruedRoyaltiesCurrentAndNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Royalty amount accrued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_CapitalContributionsRemainingCommitmentAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Capital Contributions Remaining Commitment Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_CapitalContributionsRemainingCommitmentAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Capital contributions remaining commitment amount.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_CapitalContributionsRemainingCommitmentAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Capital contributions remaining commitment amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_LiquidityAndCapitalResourcesLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liquidity and Capital Resources [Line Items]</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="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="us-gaap_IncomeTaxesPaidNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Taxes paid</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxesPaidNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Taxes Paid, Net</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GrossProfit_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Gross loss</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_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_EffectiveIncomeTaxRateReconciliationNondeductibleExpenseDepreciationAndAmortizationAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, Nondeductible Expense, Depreciation and Amortization, Percent [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationNondeductibleExpenseDepreciationAndAmortizationAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Nontaxable or nondeductible items</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="airj_ScheduleOfLiabilitiesSubjectToFairValueMeasurementsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Liabilities Subject To Fair Value Measurements [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cyd_CybersecurityRiskProcessForInformingBoardCommitteeOrSubcommitteeResponsibleForOversightTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cybersecurity Risk Process for Informing Board Committee or Subcommittee Responsible for Oversight [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ValuationTechniqueAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Valuation Approach and Technique [Axis]</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 increase (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_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="srt_ScheduleOfCondensedBalanceSheetTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Condensed Balance Sheet [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_ScheduleOfCondensedBalanceSheetTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Balance Sheet Information</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_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Dilutive shares (in shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_RelatedPartyTransactionsDetailsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Related Party Transactions (Details) [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_InitialRecognitionOfROUAssetAndOperatingLeaseLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Initial recognition of ROU asset and operating lease liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_InitialRecognitionOfROUAssetAndOperatingLeaseLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Initial recognition of ROU asset and operating lease liability.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_InitialRecognitionOfROUAssetAndOperatingLeaseLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Initial Recognition Of ROUAsset And Operating Lease Liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_LeasesDetailsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Leases (Details) [Table]</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="us-gaap_AdjustmentsToAdditionalPaidInCapitalShareBasedCompensationStockOptionsRequisiteServicePeriodRecognition_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Share-based compensation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_EarnoutSharesLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Balance beginning</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_EarnoutSharesLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Balance ending</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_EarnoutSharesLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Earnout Shares liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_EarnoutSharesLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Earnout shares liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_EarnoutSharesLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount of earnout shares liability.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_EarnoutSharesLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Earnout Shares Liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_BusinessCombinationClassACommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Business Combination Class A common stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_BusinessCombinationClassACommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Number of business combination class A common stock.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_BusinessCombinationClassACommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination Class ACommon 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/verboseLabel">Common stock par value per share (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="airj_ClassOfWarrantOrRightExercisableEntityMayRedeemRedemptionWrittenNoticePeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Written notice period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ClassOfWarrantOrRightExercisableEntityMayRedeemRedemptionWrittenNoticePeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Class of warrant or right, exercisable, entity may redeem, redemption, written notice period.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ClassOfWarrantOrRightExercisableEntityMayRedeemRedemptionWrittenNoticePeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class Of Warrant Or Right Exercisable Entity May Redeem Redemption Written Notice Period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MoneyMarketFundsAtCarryingValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Money market funds</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MoneyMarketFundsAtCarryingValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Money Market Funds, at Carrying Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TypeOfAdoptionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accounting Standards Update [Domain]</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/terseLabel">Liabilities</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="airj_RecapitalizationTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">RECAPITALIZATION</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_RecapitalizationTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The entire disclosure of the recapitalization.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_RecapitalizationTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Recapitalization [Text Block]</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_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsOutstandingWeightedAverageRemainingContractualTerm2_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted Average Remaining Life (Years), Balance at ending</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_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="airj_ScheduleOfStraightLineMethodOverTheEstimatedUsefulLivesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Straight Line Method Over The Estimated Useful Lives [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ScheduleOfStraightLineMethodOverTheEstimatedUsefulLivesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Tabular disclosure of information straight line method over the estimated useful lives.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ScheduleOfStraightLineMethodOverTheEstimatedUsefulLivesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Estimated Useful Lives</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_LiquidityAndCapitalResourcesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liquidity and Capital Resources [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ChangeInFairValueOfEquityLineObligationLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Change in Fair Value of Equity Line Obligation Liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ChangeInFairValueOfEquityLineObligationLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Change in fair value of equity line obligation liability.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ChangeInFairValueOfEquityLineObligationLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Change in fair value of Equity Line Obligation liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ChangeInFairValueOfEquityLineObligationLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Change in fair value of equity line obligation liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ChangeInFairValueOfEquityLineObligationLiability_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Change in fair value of Equity Line Obligation liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentFinStmtErrorCorrectionFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Financial Statement Error Correction [Flag]</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/terseLabel">Exercise of options (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_StockIssuedDuringPeriodSharesStockOptionsExercised_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Options, Exercised</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_GEVernovaMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">GE Vernova [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_GEVernovaMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">GEVernova [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_LegacyMontanaOptionsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Legacy Montana Options [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_LegacyMontanaOptionsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Legacy montana options.</link:label>
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          <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_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="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Nonvested, Number</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Options, Balance at beginning</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Options, Balance at ending</link:label>
          <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>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Preferred stock 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_PreferredStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Preferred Stock, Shares Outstanding, Ending Balance</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/periodStartLabel">Preferred Stock, Shares Outstanding, Beginning Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ResearchAndDevelopmentExpensePolicy_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Research and Development Cost</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ResearchAndDevelopmentExpensePolicy_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Research and Development Expense, Policy [Policy Text Block]</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_CommonStockCapitalSharesReservedForFutureIssuance_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common stock reserved for issuance</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="us-gaap_BusinessAcquisitionCostOfAcquiredEntityTransactionCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Gross proceeds (in Dollars)</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConversionOfStockSharesConverted1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Converted shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConversionOfStockSharesConverted1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Conversion of Stock, Shares Converted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_VariableInterestEntityOwnershipPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percentage of interest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_VariableInterestEntityOwnershipPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Variable Interest Entity, Qualitative or Quantitative Information, Ownership Percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ConsultancyAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Consultancy Agreement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ConsultancyAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Consultancy Agreement [Member]</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 expenses</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_IncomeTaxReconciliationStateAndLocalIncomeTaxes_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, State and Local Income Taxes, Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxReconciliationStateAndLocalIncomeTaxes_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">State and local income taxes, net of federal income tax effect</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfEmployeeServiceShareBasedCompensationAllocationOfRecognizedPeriodCostsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfEmployeeServiceShareBasedCompensationAllocationOfRecognizedPeriodCostsTextBlock_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_IncomeTaxReconciliationNondeductibleExpenseOther_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, Nondeductible Expense, Other, Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxReconciliationNondeductibleExpenseOther_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other permanent adjustments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsHeldInTrustNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Asset, Held-in-Trust, Noncurrent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsHeldInTrustNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Investment in AirJoule, LLC</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_SponsorContributedAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Sponsor contributed amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_SponsorContributedAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Sponsor contributed amount.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_SponsorContributedAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Sponsor Contributed Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountsPayableAccruedLiabilitiesAndOtherLiabilitiesDisclosureCurrentTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">OTHER ACCRUED EXPENSES</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountsPayableAccruedLiabilitiesAndOtherLiabilitiesDisclosureCurrentTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accounts Payable, Accrued Liabilities, and Other Liabilities Disclosure, Current [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfDeferredTaxAssetsAndLiabilitiesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Rise to Deferred Tax Assets and Liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfDeferredTaxAssetsAndLiabilitiesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Deferred Tax Assets and Liabilities [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_WarrantsPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_WarrantsPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Disclosure of accounting policy for warrants.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_WarrantsPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrants [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockOptionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stock Options [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockOptionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity Option [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockOptionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Stock Option [Member]</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="airj_StockOptionOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Option One [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_StockOptionOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stock Option [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_IssuanceOfTrueUpSharesShares_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Issuance of true up shares</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_IssuanceOfTrueUpSharesShares_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Issuance of True up Shares, shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_IssuanceOfTrueUpSharesShares_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of True up Shares (in Shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Property and Equipment [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Property and Equipment [Abstract]</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/terseLabel">Other assets</link:label>
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          <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 non-current assets</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MeasurementInputExpectedTermMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Expected term [Member]</link:label>
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          <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>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SponsorFees_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Sponsor fee</link:label>
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          <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>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonClassBMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class B Common Stock [Member]</link:label>
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          <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>
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          <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_BusinessCombinationsPolicy_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Business Combinations</link:label>
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          <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="airj_ChangeInAccruedRoyalties_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Change in Accrued Royalties</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ChangeInAccruedRoyalties_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Change in accrued royalties.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ChangeInAccruedRoyalties_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Change in accrued royalties</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="airj_DeferredTaxLiabilitiesRightofuseAsset_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Right-of-use asset</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_DeferredTaxLiabilitiesRightofuseAsset_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Liabilities Rightofuse Asset</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_DeferredTaxLiabilitiesRightofuseAsset_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount of right-of-use asset.</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_TwoThousandTwentyFourEmployeeStockPurchasePlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Two thousand twenty four employee stock purchase plan.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_TwoThousandTwentyFourEmployeeStockPurchasePlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2024 Employee Stock Purchase Plan [Member]</link:label>
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          <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>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_SeptemberNineTwoThousandAndTwentyFourMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">September Nine Two Thousand and Twenty Four [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_SeptemberNineTwoThousandAndTwentyFourMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">September nine two thousand and twenty four.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_SeptemberNineTwoThousandAndTwentyFourMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">September 9, 2024 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Nonvested, Weighted Average Grant Date Fair Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Weighted Average Grant Date Fair Value, Balance at beginning</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Weighted Average Grant Date Fair Value, Balance at ending</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ScheduleOfRestrictedStockUnitsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Restricted Stock Units [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GeneralAndAdministrativeExpenseMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">General and Administrative Expense [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GeneralAndAdministrativeExpenseMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">General and Administrative [Member]</link:label>
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          <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>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_SubjectVestingPerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Subject vesting per shares.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_SubjectVestingPerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subject Vesting Per Share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_AuditorFirmId_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Auditor Firm ID</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiquidationBasisOfAccountingTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">LIQUIDITY AND CAPITAL RESOURCES</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiquidationBasisOfAccountingTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liquidation Basis of Accounting [Text Block]</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_EarnoutSharesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Earnout Shares [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_EarnoutSharesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Earnout Shares Member</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_StockBasedCompensationDetailsScheduleofRestrictedStockUnitsLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Restricted Stock Units [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ScheduleOfEstimatedUsefulLivesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Estimated Useful Lives [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_LegacyMontanaSharesinDollars_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Legacy Montana Shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_LegacyMontanaSharesinDollars_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Number of Legacy montana shares in dollars.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_LegacyMontanaSharesinDollars_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Legacy Montana Sharesin Dollars</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_VariableInterestEntityPrimaryBeneficiaryMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Variable Interest Entity, Primary Beneficiary [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_VariableInterestEntityPrimaryBeneficiaryMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">VIE [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_VariableInterestEntityPrimaryBeneficiaryMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Variable Interest Entity, Primary Beneficiary [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredCostsAndOtherAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Costs and Other Assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredCostsAndOtherAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Start-up costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationChangeInDeferredTaxAssetsValuationAllowance_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, Change in Deferred Tax Assets Valuation Allowance, Percent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationChangeInDeferredTaxAssetsValuationAllowance_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Changes in valuation allowances</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsOutstandingWeightedAverageRemainingContractualTerms_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Outstanding, Weighted Average Remaining Contractual Terms</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsOutstandingWeightedAverageRemainingContractualTerms_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Estimated weighted-average amortization period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LeaseContractualTermDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lease Contractual Term [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxExaminationPenaltiesAndInterestAccrued_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Tax Examination, Penalties and Interest Accrued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxExaminationPenaltiesAndInterestAccrued_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Income Tax Examination, Penalties and Interest Accrued, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxExaminationPenaltiesAndInterestAccrued_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued total penalties and interest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_MontanaTechnologiesCorporationMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Montana Technologies Corporation [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_MontanaTechnologiesCorporationMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Montana Technologies Corporation [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ReconciliationOfAssetsFromSegmentToConsolidatedTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Reconciliation of Assets from Segment to Consolidated [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ReconciliationOfAssetsFromSegmentToConsolidatedTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Schedule of Reconciles Segment Assets to Consolidated Assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ScheduleOfCondensedIncomeStatementLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Condensed Income Statement [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cyd_CybersecurityRiskManagementPositionsOrCommitteesResponsibleTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cybersecurity Risk Management Positions or Committees Responsible [Text Block]</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 common stock outstanding, basic (in Shares)</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">Basic weighted average shares outstanding</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_PaymentsForProceedsFromPreviousAcquisition_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Aggregate purchase price (in Dollars)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsForProceedsFromPreviousAcquisition_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payments for (Proceeds from) Previous Acquisition</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ExpensedAsTransactionCostOfBusinessCombination_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represent the amount of expensed as transaction cost of business combination.</link:label>
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          <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="airj_CAMTMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">CAMT [Member]</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_AggregatePercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Aggregate Percentage</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_WarrantPurchasePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount of warrant purchase price.</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ScheduleOfCondensedIncomeStatementAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Condensed Income Statement [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_LegacyMontanaEquityHoldersMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Legacy Montana Equity Holders [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_LegacyMontanaEquityHoldersMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Legacy Montana Equity Holders [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_StockSpilitPricePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Spilit Price Per Share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_StockSpilitPricePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Stock spilit price per share.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_StockSpilitPricePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Stock spilit price per share (in Dollars per share)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_EffectiveIncomeTaxRateReconciliationNondeductibleExpenseChangeInFairValueOfEarnoutTrue-UpSubjectVestingAndEquityLineLiabilitiesPercent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, Nondeductible Expense, Change In Fair Value Of Earnout, True-up, Subject Vesting And Equity Line Liabilities , Percent</link:label>
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, percent.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_EffectiveIncomeTaxRateReconciliationNondeductibleExpenseChangeInFairValueOfEarnoutTrue-UpSubjectVestingAndEquityLineLiabilitiesPercent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Change in fair value of Earnout, True-up, Subject Vesting and Equity Line liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OverAllotmentOptionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Over-Allotment Option [Member]</link:label>
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          <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>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_ScheduleOfCondensedIncomeStatementTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Condensed Statement of Operations</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FederalIncomeTaxExpenseBenefitContinuingOperationsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Federal</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_XPDBMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">XPDB [Member]</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_StockOptionThreeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Option Three [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_StockOptionThreeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stock Option [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ReversalOfAccruedRoyaltiesExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Reversal of accrued royalties expense</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ReversalOfAccruedRoyaltiesExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Reversal of accrued royalties expense.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_workingCapitalDeficit_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Working capital</link:label>
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          <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 Other Accrued Expenses</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_DebtInstrumentNameDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Name [Domain]</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeLossFromEquityMethodInvestments_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Equity loss from investment in AirJoule, LLC</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_BasisDifferenceOfGoodwillImpairment_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Basis difference of goodwill impairment.</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_PreferredUnitsIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Preferred Units, Issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredUnitsIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Preferred units</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="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardAcceleratedVestingNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Vesting shares</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="airj_AwardsVestMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Awards Vest [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_AwardsVestMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Awards Vest [Member]</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_EquityMethodInvestmentOwnershipPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Equity method investment, ownership percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ThresholdAnnualizedEBITDA_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Threshold annualized EBITDA</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ThresholdAnnualizedEBITDA_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Threshold Annualized EBITDA</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ThresholdAnnualizedEBITDA_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Threshold annualized EBITDA.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cyd_CybersecurityRiskMateriallyAffectedOrReasonablyLikelyToMateriallyAffectRegistrantTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cybersecurity Risk Materially Affected or Reasonably Likely to Materially Affect Registrant [Text Block]</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_StockIssuedDuringPeriodValueOther_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Subscription proceeds received</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CurrentStateAndLocalTaxExpenseBenefit_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Current tax expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CurrentStateAndLocalTaxExpenseBenefit_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Current State and Local Tax Expense (Benefit)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cyd_CybersecurityRiskManagementExpertiseOfManagementResponsibleTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cybersecurity Risk Management Expertise of Management Responsible [Text Block]</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">Warrants issued</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">Warrants outstanding</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_DeferredChargesPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deferred Offering Costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredChargesPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Charges, Policy [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_SeriesBPreferredUnitsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Series B Preferred Units [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_SeriesBPreferredUnitsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Series BPreferred Units [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseLiabilitiesPaymentsDueAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Future Minimum Rental Payments [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_LiabilitiesCombinedInRecapitalizationNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Liabilities combined in recapitalization, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_LiabilitiesCombinedInRecapitalizationNet_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Liabilities combined in recapitalization, net.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_LiabilitiesCombinedInRecapitalizationNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liabilities Combined In Recapitalization Net</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="us-gaap_SupplyCommitmentArrangementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Supply Commitment Arrangement [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ShareBasedCompensationArrangementByShareBasedPaymentAwardValuePurchasePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Share-based compensation arrangement by share-based payment award value purchase price.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ShareBasedCompensationArrangementByShareBasedPaymentAwardValuePurchasePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share Based Compensation Arrangement By Share Based Payment Award Value Purchase Price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ShareBasedCompensationArrangementByShareBasedPaymentAwardValuePurchasePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Total purchase price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxReconciliationPriorYearIncomeTaxes_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Prior year true-up</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxReconciliationPriorYearIncomeTaxes_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, Prior Year Income Taxes, Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Property and Equipment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Property, Plant and Equipment, Policy [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_September92024Member_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">September 9, 2024 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_September92024Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">September92024 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConversionOfStockLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Conversion of Stock [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConversionOfStockLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Organization and Business Operations [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_NumberOfThresholdConsecutiveTradingDays_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Number Of Threshold Consecutive Trading Days</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_NumberOfThresholdConsecutiveTradingDays_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Number of threshold consecutive trading days.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_NumberOfThresholdConsecutiveTradingDays_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of threshold consecutive trading days</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_EquityMethodInvestmentDetailsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity Method Investment (Details) [Table]</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_CashFDICInsuredAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Insured limits amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashFDICInsuredAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash, FDIC Insured Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockRepurchasedDuringPeriodShares_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Share purchased</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockRepurchasedDuringPeriodShares_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Repurchased During Period, Shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationSeparatelyRecognizedTransactionsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Separately Recognized Transaction [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GrossProfitAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Gross Profit [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GrossProfitAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Gross Sales:</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_SummaryofSignificantAccountingPoliciesDetailsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Summary of Significant Accounting Policies (Details) [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="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_PropertyPlantAndEquipmentGross_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Property, Plant and Equipment, Gross</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentGross_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Property, Plant and Equipment, Gross, Ending Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentGross_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Property, Plant and Equipment, Gross, Beginning Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentGross_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Property, Plant and Equipment, Gross, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentGross_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Total cost</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_FairValueMeasurementsDetailsScheduleofTrueUpSharesliabilityTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Measurements (Details) - Schedule of True Up Shares liability [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Income (loss) before income taxes</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income (Loss) from Continuing Operations before Income Taxes, Noncontrolling Interest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestOutstandingNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Vested shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestOutstandingNumber_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, Outstanding, Number</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestOutstandingNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Options, Vested and expected to vest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsNonvestedOptionsForfeitedNumberOfShares_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Nonvested Options Forfeited, Number of Shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsNonvestedOptionsForfeitedNumberOfShares_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Options forfeited (in Shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccruedRoyaltiesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued royalty</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_SummaryofSignificantAccountingPoliciesDetailsScheduleofNetLossPerShareofCommonStockPresentedintheCondensedConsolidatedStatementsofOperationsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Summary of Significant Accounting Policies (Details) - Schedule of Net Loss Per Share of Common Stock Presented in the Condensed Consolidated Statements of Operations [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MeasurementInputTypeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Measurement Input Type [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsNonvestedOptionsForfeitedWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted Average Exercise Price, Forfeited</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsNonvestedOptionsForfeitedWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Nonvested Options Forfeited, Weighted Average Grant Date Fair Value</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="us-gaap_EffectiveIncomeTaxRateReconciliationForeignIncomeTaxRateDifferential_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, Foreign Income Tax Rate Differential, Percent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationForeignIncomeTaxRateDifferential_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Foreign tax effects</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInDueToRelatedParties_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Due to related party</link:label>
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          <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, 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, end of the 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/terseLabel">Cash, cash equivalents and restricted cash</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="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="us-gaap_ContractualObligationFiscalYearMaturityAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Shedule of Future Minimum Royalties [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_April2025PIPESubscriptionAgreementsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">April 2025 PIPE Subscription Agreements [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_April2025PIPESubscriptionAgreementsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">April 2025 PIPE Subscription Agreements.</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 per share (in Dollars per share)</link:label>
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          <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/terseLabel">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_AllocatedShareBasedCompensationExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">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/verboseLabel">Unrecognized 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">Total stock-based compensation</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_EquityMethodInvestmentsAndJointVenturesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity Method Investment [Abstract]</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="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="dei_IcfrAuditorAttestationFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/label">ICFR Auditor Attestation Flag</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_EffectiveIncomeTaxRateReconciliationChangesInUnrecognizedTaxBenefitsPercent_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Effective income tax rate reconciliation, changes in unrecognized tax benefits, percent.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_EffectiveIncomeTaxRateReconciliationChangesInUnrecognizedTaxBenefitsPercent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, Changes In Unrecognized Tax Benefits, Percent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_EffectiveIncomeTaxRateReconciliationChangesInUnrecognizedTaxBenefitsPercent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Changes in unrecognized tax benefits</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_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Options, Exercisable at the end of the period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_NonemployeeEquityMethodInvesteesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Non-employee Equity Method Investees [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_NonemployeeEquityMethodInvesteesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Nonemployee Equity Method Investees [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_NonemployeeEquityMethodInvesteesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Nonemployee Equity Method Investees Member</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_WarrantsToPurchaseClassACommonStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Warrants to purchase Class A common stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_WarrantsToPurchaseClassACommonStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrants To Purchase Class ACommon Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_WarrantsToPurchaseClassACommonStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Warrants To Purchase Class A Common Stock Member</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardSharesPurchasedForAward_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Shares Purchased for Award</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardSharesPurchasedForAward_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Options to purchase (in Shares)</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_RestrictedStockUnitsRSUMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Restricted Stock Units [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedStockUnitsRSUMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Restricted Stock Units (RSUs) [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedStockUnitsRSUMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">RSU [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesPurchaseOfAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period, Shares, Purchase of Assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesPurchaseOfAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of shares purchased</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_VestingAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Vesting [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/label">Class of Stock [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_SubjectVestingSharesLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Balance beginning</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_SubjectVestingSharesLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Balance ending</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_SubjectVestingSharesLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Subject Vesting Shares liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_SubjectVestingSharesLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount of subject vesting shares liability.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_SubjectVestingSharesLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subject Vesting Shares Liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deferred tax liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Liabilities, Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net deferred tax liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ScheduleOfVestingSharesLiabilityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Vesting Shares Liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ScheduleOfVestingSharesLiabilityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Tabular disclosure of schedule of vesting shares liability.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ScheduleOfVestingSharesLiabilityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Vesting Shares Liability [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherReceivables_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Due from related party</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherReceivables_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Due from related party receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherReceivables_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Receivables</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CapitalizedContractCostAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Capitalized Contract Cost [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cyd_CybersecurityRiskManagementStrategyAndGovernanceLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cybersecurity Risk Management, Strategy, and Governance [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationChangeInEnactedTaxRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, Change in Enacted Tax Rate, Percent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationChangeInEnactedTaxRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Effect of changes in relevant tax rates in the current period</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</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseDiscountRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Discount rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseDiscountRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Discount Rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromDivestitureOfBusinessesNetOfCashDivested_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash proceeds (in Dollars)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromDivestitureOfBusinessesNetOfCashDivested_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Divestiture of Businesses, Net of Cash Divested</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="airj_SubjectVestingSharesLiabilityNonCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Subject Vesting Shares liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_SubjectVestingSharesLiabilityNonCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount of subject vesting liability classified as non current.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_SubjectVestingSharesLiabilityNonCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subject Vesting Shares Liability Non Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromContributionsFromParent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Contributions from Parent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromContributionsFromParent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Contributed an additional in capital contributions</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromContributionsFromParent_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Capital contributions</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxReconciliationForeignIncomeTaxRateDifferential_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, Foreign Income Tax Rate Differential, Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxReconciliationForeignIncomeTaxRateDifferential_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Foreign tax effects</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="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearTwo_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_RestrictedCash_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Restricted cash</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="airj_JuneSixTwoThousandAndTwentyFourMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">June Six Two Thousand and Twenty Four [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_JuneSixTwoThousandAndTwentyFourMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">June six two thousand and twenty four.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_JuneSixTwoThousandAndTwentyFourMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">June 6, 2024 [Member]</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">Diluted weighted average shares outstanding</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/totalLabel">Weighted Average Number of Shares Outstanding, Diluted, Total</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">Dilutive shares</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 Class A common stock outstanding, diluted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_DeferredTaxLiabilitiesOutsideBasisInJointVenture_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Liabilities Outside Basis in Joint Venture</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_DeferredTaxLiabilitiesOutsideBasisInJointVenture_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Deferred tax liabilities outside basis in joint venture.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_DeferredTaxLiabilitiesOutsideBasisInJointVenture_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Outside basis in joint venture</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInDueFromRelatedParties_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Due from related party</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInDueFromRelatedParties_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase (Decrease) in Due from Related Parties</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="airj_PrivatePlacementWarrantMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Private Placement Warrant [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_PrivatePlacementWarrantMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Private Placement Warrant [Member]</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="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_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_MeasurementInputTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Measurement Input Type [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ClassOfWarrantOrRightExercisableEntityMayRedeemRedemptionCommonStockLastSalePriceConsecutiveTradingDayPeriodDaysNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Consecutive trading days for redemption of warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ClassOfWarrantOrRightExercisableEntityMayRedeemRedemptionCommonStockLastSalePriceConsecutiveTradingDayPeriodDaysNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Class of warrant or right, exercisable, entity may redeem, redemption, common stock, last sale price, consecutive trading day period, days, number.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ClassOfWarrantOrRightExercisableEntityMayRedeemRedemptionCommonStockLastSalePriceConsecutiveTradingDayPeriodDaysNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class Of Warrant Or Right Exercisable Entity May Redeem Redemption Common Stock Last Sale Price Consecutive Trading Day Period Days Number</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/label">Prepaid Expense and Other Assets, Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeitedInPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Forfeited in Period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeitedInPeriod_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Options, Forfeited</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_OfficeServicesAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Office Services Agreement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_OfficeServicesAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Office Services Agreement [Member]</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_ShareBasedCompensationArrangementByShareBasedPaymentAwardPercentageOfOutstandingStockMaximum_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of shares of common stock outstanding, percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StateAndLocalIncomeTaxExpenseBenefitContinuingOperationsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">State and local</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StateAndLocalIncomeTaxExpenseBenefitContinuingOperationsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">State and Local Income Tax Expense (Benefit), Continuing Operations [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/label">Number of Operating Segments</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_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_SegmentReportingDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Segment Reporting Disclosure [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/verboseLabel">SEGMENT INFORMATION</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/label">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/totalLabel">General and Administrative Expense, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TaxJurisdictionOfDomicileExtensibleEnumeration_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Tax Jurisdiction of Domicile [Extensible Enumeration]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredIncomeRevenueRecognized_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Recognized amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredIncomeRevenueRecognized_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Income, Revenue Recognized</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ClassOfWarrantOrRightExercisableEntityMayRedeemRedemptionCommonStockLastSalePriceTradingDaysNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Trading days for redemption of warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ClassOfWarrantOrRightExercisableEntityMayRedeemRedemptionCommonStockLastSalePriceTradingDaysNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Class of warrant or right, exercisable, entity may redeem, redemption, common stock, last sale price, trading days, number.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ClassOfWarrantOrRightExercisableEntityMayRedeemRedemptionCommonStockLastSalePriceTradingDaysNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class Of Warrant Or Right Exercisable Entity May Redeem Redemption Common Stock Last Sale Price Trading Days Number</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_SponsorMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Sponsor [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_SponsorMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Sponsor [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxReconciliationChangeInEnactedTaxRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, Change in Enacted Tax Rate, Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxReconciliationChangeInEnactedTaxRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Effect of changes in relevant tax rates in the current period</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">Lease expenses</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_SeriesOfIndividuallyImmaterialBusinessAcquisitionsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Business Combination [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SeriesOfIndividuallyImmaterialBusinessAcquisitionsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Series of Individually Immaterial Business Combinations [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentFinStmtRestatementRecoveryAnalysisFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Financial Statement Restatement Recovery Analysis [Flag]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestOutstandingWeightedAverageExercisePrice_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, Outstanding, Weighted Average Exercise Price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestOutstandingWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted Average Exercise Price, Vested and expected to vest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_PublicWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Public Warrants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_PublicWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Public Warrants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentUsefulLife_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Estimated useful lives</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentUsefulLife_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Property, Plant and Equipment, Useful Life</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">New 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_LesseeOperatingLeaseLiabilityMaturityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Future Minimum Rental 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_ScheduleOfSharebasedCompensationRestrictedStockAndRestrictedStockUnitsActivityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Restricted Stock and Restricted Stock Unit, Activity [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfSharebasedCompensationRestrictedStockAndRestrictedStockUnitsActivityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of RSUs granted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationNondeductibleExpenseOther_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, Nondeductible Expense, Other, Percent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationNondeductibleExpenseOther_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other permanent adjustments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_StockSplitPricePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Split Price Per Share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_StockSplitPricePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Stock spilit price per share.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_StockSplitPricePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stock spilit price per share (in Dollars per share)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_PIPEInvestmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">PIPEInvestment [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_PIPEInvestmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">PIPE Investment [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRateMinimum_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, Minimum</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRateMinimum_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Risk-free interest rate minimum</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_LegacyMontanaUnitsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Legacy Montana Units [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_LegacyMontanaUnitsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Legacy Montana Units [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_FairValueMeasurementsDetailsScheduleofLiabilitiesSubjecttoFairValueMeasurementsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Measurements (Details) - Schedule of Liabilities Subject to Fair Value Measurements [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherReceivablesNetCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Receivables, Net, Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherReceivablesNetCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Other Receivables, Net, Current, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherReceivablesNetCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Due from related party receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_NasdaqMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Nasdaq [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_NasdaqMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Nasdaq [Member]</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/verboseLabel">Common stock 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_CommonStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Common Stock, Shares, Outstanding, Ending Balance</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/periodStartLabel">Common Stock, Shares, Outstanding, Beginning Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ExpectedThresholdAnnualizedEBITDA_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Expected Threshold Annualized EBITDA</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ExpectedThresholdAnnualizedEBITDA_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Expected threshold annualized EBITDA.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ExpectedThresholdAnnualizedEBITDA_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Expected threshold annualized EBITDA</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 liability, 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/label">Operating Lease, Liability, Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_ContractualObligationFiscalYearMaturityScheduleTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Future Minimum Royalties</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_ContractualObligationFiscalYearMaturityScheduleTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Contractual Obligation, Fiscal Year Maturity [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cyd_CybersecurityRiskManagementProcessesIntegratedFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cybersecurity Risk Management Processes Integrated [Flag]</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_OperatingExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Operating Expenses, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingExpenses_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_OperatingExpenses_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Operating expenses</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</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</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/totalLabel">Research and Development Expense, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CostOfRevenue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cost of Revenue</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CostOfRevenue_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Cost of sales</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeasesTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">LEASES</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_TrueUpSharesLiabilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">True Up Shares liability [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_TrueUpSharesLiabilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">True Up Shares Liability [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConversionOfStockAmountIssued1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Annualized EBITDA per production line</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfComponentsOfIncomeTaxExpenseBenefitTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Components of Income Tax Expense (Benefit) [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsOperatingLossCarryforwardsStateAndLocal_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">State operating loss carryforward</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsOperatingLossCarryforwardsStateAndLocal_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Assets, Operating Loss Carryforwards, State and Local</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="airj_TotalOutstandingPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Total outstanding percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_TotalOutstandingPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Total outstanding percentage.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_TotalOutstandingPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Total Outstanding Percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ReversalOfRoyaltiesExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Reversal Of Royalties Expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ReversalOfRoyaltiesExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Reversal of royalties expense.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ReversalOfRoyaltiesExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Reversal of royalties expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_CapitalDifferenceAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Capital Difference Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_CapitalDifferenceAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Capital difference amount.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_CapitalDifferenceAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Capital difference amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CurrentFederalTaxExpenseBenefit_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Current tax expense</link:label>
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          <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="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_ScheduleOfShareBasedCompensationStockOptionsActivityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Option Activity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_StockBasedCompensationDetailsScheduleofRestrictedStockUnitsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock-Based Compensation (Details) - Schedule of Restricted Stock Units [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_CondensedBalanceSheetStatementTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Condensed Balance Sheet Statement [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Assumed in the Business Combination</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payments to Acquire Businesses, Net of Cash Acquired</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_StockholdersEquityNoteDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">STOCKHOLDERS' EQUITY</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_AggregatesPurchasePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Aggregate purchase price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_AggregatesPurchasePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Aggregate purchase price.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_AggregatesPurchasePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Aggregates Purchase Price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfShareBasedCompensationRestrictedStockUnitsAwardActivityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Restricted Stock Unit, Activity [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfShareBasedCompensationRestrictedStockUnitsAwardActivityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of RSU Activity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxLiabilitiesOther_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deferred tax liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxLiabilitiesOther_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Liabilities, Other</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxLiabilitiesOther_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Other</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cyd_CybersecurityRiskManagementProcessesIntegratedTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cybersecurity Risk Management Processes Integrated [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLoss_lbl" xlink:role="http://www.xbrl.org/2009/role/netLabel">Net income (loss)</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/totalLabel">Net income (loss)</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 income (loss)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_StockholdersEquityDeficitDetailsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stockholders&#8217; Equity (Deficit) (Details) [Table]</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_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingIntrinsicValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Total intrinsic value of options</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_PipeOfferingProceedsNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Pipe Offering Proceeds, Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_PipeOfferingProceedsNet_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Pipe offering proceeds, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_PipeOfferingProceedsNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">PIPE offering proceeds, net (in Shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ProceedsFromPIPEOfferingNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds From PIPE Offering Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ProceedsFromPIPEOfferingNet_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Proceeds from PIPE offering, net.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ProceedsFromPIPEOfferingNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Proceeds from the PIPE offering, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherNonoperatingIncome_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Nonoperating Income</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherNonoperatingIncome_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other income, net</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">Expected 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="us-gaap_EarningsPerShareBasicLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Net Loss Per Share of Common Stock Presented in the Condensed Consolidated Statements of Operations [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilityForUncertainTaxPositionsCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Uncertain tax positions</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilityForUncertainTaxPositionsCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liability for Uncertainty in Income Taxes, Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeasePayments_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Total cash paid</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeasePayments_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Lease, Payments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeasePayments_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Lease payments</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_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="airj_ShareBasedCompensationArrangementByShareBasedPaymentAwardMaximumContributionOfEmployeesEligibleCompensationForPurchaseOfStock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Maximum contribution of employee's eligible compensation for purchase of stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ShareBasedCompensationArrangementByShareBasedPaymentAwardMaximumContributionOfEmployeesEligibleCompensationForPurchaseOfStock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share Based Compensation Arrangement By Share Based Payment Award, Maximum Contribution of Employee's Eligible Compensation for Purchase of Stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ShareBasedCompensationArrangementByShareBasedPaymentAwardMaximumContributionOfEmployeesEligibleCompensationForPurchaseOfStock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Share based compensation arrangement by share based payment award, maximum contribution of employee's eligible compensation for purchase of stock.</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="airj_NumberOfSharesOwned_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Number Of Shares Owned</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_NumberOfSharesOwned_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of shares owned</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_NumberOfSharesOwned_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Number of shares owned.</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_NetCashProvidedByUsedInInvestingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash flows from investing activities</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="airj_NonEmployeeDirectorPostCombination_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of non-employee director, post combination.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_NonEmployeeDirectorPostCombination_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Non Employee Director Post Combination</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_NonEmployeeDirectorPostCombination_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Non-employee director, post combination</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_TrueUpSharesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">True Up Shares [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_TrueUpSharesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">True Up Shares [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_UnderwritingDiscountsAndCommissions_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Underwriting Discounts and Commissions</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_UnderwritingDiscountsAndCommissions_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Underwriting discounts and commissions.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_UnderwritingDiscountsAndCommissions_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Underwriting discounts and commissions</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ResearchAndDevelopmentExpenseMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Research and Development Expense [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ResearchAndDevelopmentExpenseMember_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="airj_SecondAmendedAndRestatedLicenseAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Second Amended and Restated License Agreement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_SecondAmendedAndRestatedLicenseAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Second amended and restated license agreement.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_NumberOfThresholdTradingDays_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Number of Threshold Trading Days</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_NumberOfThresholdTradingDays_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Number of threshold trading days.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_NumberOfThresholdTradingDays_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of threshold trading days</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_StockIssuedDuringPeriodSharesWarrantsExercised_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Exercise of warrants (in Shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_StockIssuedDuringPeriodSharesWarrantsExercised_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Number of share warrants (or share units) exercised during the current period.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_StockIssuedDuringPeriodSharesWarrantsExercised_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period Shares Warrants Exercised</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredFederalIncomeTaxExpenseBenefit_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Federal Income Tax Expense (Benefit)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredFederalIncomeTaxExpenseBenefit_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deferred tax expense (benefit)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ReimbursementForLegalAndOtherOut-Of-PocketExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Reimbursement for Legal and Other Out-of-pocket Expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ReimbursementForLegalAndOtherOut-Of-PocketExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Reimbursement for legal and other out-of-pocket expenses.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ReimbursementForLegalAndOtherOut-Of-PocketExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Reimbursement for legal and other out-of-pocket expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_GrossProceedsFromIssuanceInitialPublicOffering_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Gross Proceeds from Issuance Initial Public Offering</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_GrossProceedsFromIssuanceInitialPublicOffering_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Gross proceeds from issuance initial public offering.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_GrossProceedsFromIssuanceInitialPublicOffering_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Gross proceeds from issuance shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_StockIssuedDuringPeriodValueConversionOfClassBCommonStockToClassACommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period Value Conversion Of Class B Common Stock To Class A Common Stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_StockIssuedDuringPeriodValueConversionOfClassBCommonStockToClassACommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Conversion of class B common stock to class A common stock.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_StockIssuedDuringPeriodValueConversionOfClassBCommonStockToClassACommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Conversion of class B common stock to class A common stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ComponentsOfDeferredTaxAssetsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deferred tax assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ComponentsOfDeferredTaxAssetsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Components of Deferred Tax Assets [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_EarnoutMilestoneAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Earnout shares liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_EarnoutMilestoneAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Earnout Milestone Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_EarnoutMilestoneAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Earnout milestone amount.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_BloombergLPMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Bloomberg L.P. [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_BloombergLPMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Bloomberg LPMember</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ChangeInFairValueOfTrueUpSharesLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Change in fair value of True Up Shares liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ChangeInFairValueOfTrueUpSharesLiability_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Change in fair value of True Up Shares liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ChangeInFairValueOfTrueUpSharesLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Change in fair value of true up shares liability.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ChangeInFairValueOfTrueUpSharesLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Change In Fair Value Of True Up Shares Liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_BusinessCombinationsEarnoutSharesLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Earnout shares liability (in Dollars)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_BusinessCombinationsEarnoutSharesLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of earnout shares liability.</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueDisclosuresAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Measurements [Abstract]</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_NoncashTransactionCostsInConnectionWithBusinessCombination_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The cash outflow for cost incurred in the modification of term of existing debt agreement in order for the entity to achieve some advantage.</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MeasurementInputSharePriceMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Measurement Input, Share Price [Member]</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueNextTwelveMonths_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2026</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MembersEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Members' Equity, Total</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ChangeInFairValueOfEarnoutLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Change in fair value of earnout liabilities.</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_LicenseAgreementMember_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="airj_LicenseAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">License Agreement [Member]</link:label>
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          <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_CapitalizedContractCostLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Recapitalization [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CapitalizedContractCostLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Capitalized Contract Cost [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ProceedsFromExerciseOfOptionsAndPurchasesPursuantToEmployeeStockPurchasePlan_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Exercise of Options and Purchases Pursuant to Employee Stock Purchase Plan</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ProceedsFromExerciseOfOptionsAndPurchasesPursuantToEmployeeStockPurchasePlan_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Proceeds from exercise of options and purchases pursuant to employee stock purchase plan.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ProceedsFromExerciseOfOptionsAndPurchasesPursuantToEmployeeStockPurchasePlan_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Proceeds from the exercise of options and purchases pursuant to employee stock purchase plan</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Share-Based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Amount, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unrecognized compensation cost</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ScheduleOfReconcilesSegmentAssetsToConsolidatedAssetsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Reconciles Segment Assets to Consolidated Assets [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ScheduleOfReconcilesSegmentAssetsToConsolidatedAssetsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Schedule of reconciles segment assets to consolidated assets.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_EarnoutSharesLiabilityPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Disclosure of accounting policy earnout shares liability.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_EarnoutSharesLiabilityPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Earnout Shares Liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_EarnoutSharesLiabilityPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Earnout Shares Liability [Policy Text Block]</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>
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          <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_NetCashProvidedByUsedInInvestingActivities_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net cash used in investing activities</link:label>
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          <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="airj_InvestmentInAirJouleLLC_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Investment in AirJoule, LLC</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_InvestmentInAirJouleLLC_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Investment In Air Joule LLC</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_CondensedFinancialStatementsCaptionsLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Financial Information [Line Items]</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeituresWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted Average Grant Date Fair Value, Forfeited</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>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharesAcquiredWeightedAverageDiscountToNetAssetsPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percentage of estimated weighted average cost of capital</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharesAcquiredWeightedAverageDiscountToNetAssetsPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Shares Acquired, Weighted Average Discount to Net Assets, Percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockRedeemedOrCalledDuringPeriodShares_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Redemption of shares</link:label>
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          <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>
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          <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>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessAcquisitionSharePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Purchase price (in Dollars per share)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessAcquisitionSharePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Price Per Share</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>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Weighted Average Exercise Price, Balance at beginning</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">Weighted Average Exercise Price, Balance at ending</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UnrecognizedTaxBenefits_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unrecognized tax benefits</link:label>
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          <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, accrued transaction costs and other liabilities</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesFairValueAdjustment_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Change in fair value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesFairValueAdjustment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liabilities, Fair Value Adjustment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OpenTaxYear_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Open Tax Year</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRateMaximum_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Risk-free interest rate maximum</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_OperatingLeaseLiabilityAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Classified as:</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseLiabilityAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Lease, Liability [Abstract]</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">Cash flows from 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_SharebasedCompensationArrangementBySharebasedPaymentAwardFairValueAssumptionsExpectedTerm1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Expected term - 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="dei_EntityExTransitionPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Ex Transition Period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfEquityMethodInvestmentsLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity Method Investment [Line Items]</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 undiscounted 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_LesseeOperatingLeaseLiabilityUndiscountedExcessAmount_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Less: effects of discounting</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_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Estimated Fair Value Earnout Shares [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SellingAndMarketingExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Sales and marketing</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SellingAndMarketingExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Selling and Marketing Expense</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_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="airj_AgreementTerm_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Agreement Term</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_AgreementTerm_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Agreement term</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_ScheduleOfShareBasedCompensationActivityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Activity [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfShareBasedCompensationActivityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Options Granted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_GEVernovasMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">GE Vernova [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_GEVernovasMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">GEVernovas [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_GEVernovasMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">GE Vernovas Member</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_GEVernovasMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">GE Vernova's [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_EffectiveIncomeTaxRateReconciliationNondeductibleExpenseCostsRelatedToBusinessCombinationAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, Nondeductible Expense, Costs Related To Business Combination, Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_EffectiveIncomeTaxRateReconciliationNondeductibleExpenseCostsRelatedToBusinessCombinationAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Effective income tax rate reconciliation, nondeductible expense, costs related to business combination, amount.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_EffectiveIncomeTaxRateReconciliationNondeductibleExpenseCostsRelatedToBusinessCombinationAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Costs related to Business Combination</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_AdjustmentsAndReconcilingItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Adjustments and Reconciling Items</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_AdjustmentsAndReconcilingItems_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Adjustments and reconciling items</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_AdjustmentsAndReconcilingItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Adjustments and reconciling items</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_PIPESubscription_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">PIPE subscription</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_PIPESubscription_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Number of PIPE subscription.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_PIPESubscription_lbl" xlink:role="http://www.xbrl.org/2003/role/label">PIPESubscription</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentAnnualReport_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Annual Report</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessAcquisitionAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_DecreaseInBasisDifferenceAsOfGoodwillImpairmentCharges_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Decrease In Basis Difference as of Goodwill Impairment Charges</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_DecreaseInBasisDifferenceAsOfGoodwillImpairmentCharges_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Decrease in basis difference as of goodwill impairment charges</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_DecreaseInBasisDifferenceAsOfGoodwillImpairmentCharges_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Decrease In basis of goodwill impairment charges</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IPOMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">IPO [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IPOMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">IPO [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IPOMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Initial Public Offering [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonUnitIssued_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_CommonUnitIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Unit, Issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MachineryAndEquipmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Machinery and Equipment [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MachineryAndEquipmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Machinery and equipment [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MachineryAndEquipmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Machinery and Equipment [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesEmployeeStockPurchasePlans_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period, Shares, Employee Stock Purchase Plans</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesEmployeeStockPurchasePlans_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stock issued under ESPP (in shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MeasurementInputOptionVolatilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Volatility [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MeasurementInputOptionVolatilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Measurement Input, Option Volatility [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DepreciationAndAmortization_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Depreciation and amortization</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DepreciationAndAmortization_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Depreciation, Depletion and Amortization, Nonproduction</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DepreciationAndAmortization_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Depreciation, Depletion and Amortization, Nonproduction, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DepreciationAndAmortization_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Depreciation expense</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_CommonStockVotingRights_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Share voting</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsOperatingLossCarryforwardsDomestic_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Assets, Operating Loss Carryforwards, Domestic</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsOperatingLossCarryforwardsDomestic_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Federal operating loss carryforward</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_AdditionalFees_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Additional Fees</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_AdditionalFees_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Additional fees.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_AdditionalFees_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Additional fees, charged</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ScheduleOfEarnoutShareLiabilityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Earnout Share Liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ScheduleOfEarnoutShareLiabilityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Earnout Share Liability [Table Text Block]</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="us-gaap_ScheduleOfStockByClassTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Stock by Class [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfStockByClassTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Number of Legacy Montana Shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_OrganizationandBusinessOperationsDetailsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Organization and Business Operations (Details) [Table]</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="us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsExercisesInPeriodWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Exercise price (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_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsExercisesInPeriodWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Weighted Average Exercise Price, Exercised</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_Share-BasedCompensationArrangementByShare-BasedPaymentAwardEquityInstrumentsOtherThanOptionsReleasedInPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Options, Released</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_Share-BasedCompensationArrangementByShare-BasedPaymentAwardEquityInstrumentsOtherThanOptionsReleasedInPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement By Share-Based Payment Award Equity Instruments Other Than Options Released In Period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_Share-BasedCompensationArrangementByShare-BasedPaymentAwardEquityInstrumentsOtherThanOptionsReleasedInPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Share-based compensation arrangement by share-based payment award equity instruments other than options released in period.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_Share-BasedCompensationArrangementByShare-BasedPaymentAwardEquityInstrumentsOtherThanOptionsReleasedInPeriod_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Options, Released</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 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/label">Common Stock, Value, Issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ClassACommonStockParValue00001PerShareMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Class A Common Stock, par value $0.0001 per share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ClassACommonStockParValue00001PerShareMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class ACommon Stock Par Value00001 Per Share [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ClassACommonStockParValue00001PerShareMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Class A Common Stock Par Value 00001 Per Share Member</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLossAvailableToCommonStockholdersDiluted_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Allocation of net income (loss)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLossAvailableToCommonStockholdersDiluted_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Net Income (Loss) Available to Common Stockholders, Diluted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_PreferredUnitsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Preferred Units</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_PreferredUnitsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Preferred Units [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConsolidationPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Principles of Consolidation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConsolidationPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Consolidation, Policy [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsForFees_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other fees total (in Dollars)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsForFees_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Monthly payment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsForFees_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payments for Other Fees</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_EquityLinePurchaseAgreementTerm_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Equity line purchase agreement, term</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_EquityLinePurchaseAgreementTerm_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity Line Purchase Agreement, Term</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_EquityLinePurchaseAgreementTerm_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Equity line purchase agreement, term.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_AirJouleLLCMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">AirJoule, LLC [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_AirJouleLLCMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Air Joule LLCMember</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RelatedPartyTransactionAmountsOfTransaction_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Related party transaction amounts</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RelatedPartyTransactionAmountsOfTransaction_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Debt issuances exceeding transaction</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsOperatingLossCarryforwards_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Assets, Operating Loss Carryforwards</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsOperatingLossCarryforwards_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Deferred Tax Assets, Operating Loss Carryforwards, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsOperatingLossCarryforwards_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net operating losses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cyd_CybersecurityRiskManagementProcessesForAssessingIdentifyingAndManagingThreatsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cybersecurity Risk Management Processes for Assessing, Identifying, and Managing Threats [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationStateAndLocalIncomeTaxes_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, State and Local Income Taxes, Percent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationStateAndLocalIncomeTaxes_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">State and local income taxes, net of federal income tax effect</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_VestingSharesLiabilityLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Vesting Shares Liability [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SupplyCommitmentAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Supply Commitment [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_MembersContributionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Members&#8217; Contribution</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_MembersContributionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Members Contribution [Member]</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_PercentageOfSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of shares issued.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_PercentageOfSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percentage Of Shares Issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityPublicFloat_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Public Float</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxesPaidNetAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Income Tax [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxesPaidNetAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Tax [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Expected volatility</link:label>
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          <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_RoyaltyExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Royalty amount</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_EffectiveIncomeTaxRateReconciliationOtherReconcilingItemsPercentAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, Other Reconciling Items, Percent [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationOtherReconcilingItemsPercentAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other adjustments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentAnnualPrincipalPayment_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Agreed amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentAnnualPrincipalPayment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Annual Principal Payment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_CommonStockImmediatelyAfterTheBusinessCombination_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Class A and B Common Stock immediately after the Business Combination</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_CommonStockImmediatelyAfterTheBusinessCombination_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Number of stock immediately after the business combination.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_CommonStockImmediatelyAfterTheBusinessCombination_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock Immediately After The Business Combination</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_FairValueMeasurementsDetailsScheduleofEarnoutShareLiabilityTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Measurements (Details) - Schedule of Earnout Share Liability [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_EarnoutSharesLiabilityNonCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Earnout Shares liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_EarnoutSharesLiabilityNonCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount of earnout share liability classified as non current.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_EarnoutSharesLiabilityNonCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Earnout Shares Liability Non Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ScheduleOfFinancialInformationAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Financial Information [Abstract]</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 Measurements [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationCrossBorderTaxEffectPercent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, Cross-Border Tax Effect, Percent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationCrossBorderTaxEffectPercent_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Effective Income Tax Rate Reconciliation, Cross-Border Tax Effect, Percent, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationCrossBorderTaxEffectPercent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Effect of cross-border tax laws</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 Transactions [Line Items]</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="us-gaap_UnrecognizedTaxBenefitsIncomeTaxPenaltiesAndInterestAccrued_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued interest and penalties</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UnrecognizedTaxBenefitsIncomeTaxPenaltiesAndInterestAccrued_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Unrecognized Tax Benefits, Income Tax Penalties and Interest Accrued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityVoluntaryFilers_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Voluntary Filers</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ClassACommonStockOfXPDB_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Class A common stock of XPDB</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ClassACommonStockOfXPDB_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Number of cass A common stock of XPDB.
.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ClassACommonStockOfXPDB_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class ACommon Stock Of XPDB</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_CommitmentsandContingenciesDetailsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Commitments and Contingencies (Details) [Table]</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_OtherNonoperatingIncomeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Other Nonoperating Income (Expense), Total</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">Other income</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</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredStateAndLocalIncomeTaxExpenseBenefit_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred State and Local Income Tax Expense (Benefit)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredStateAndLocalIncomeTaxExpenseBenefit_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deferred tax expense (benefit)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConversionOfStockSharesIssued1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">The Company&#8217;s Shares after conversion ratio</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConversionOfStockSharesIssued1_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Newly issued shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConversionOfStockSharesIssued1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Conversion of Stock, Shares Issued</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="cyd_CybersecurityRiskManagementPositionsOrCommitteesResponsibleFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cybersecurity Risk Management Positions or Committees Responsible [Flag]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockGrantedDuringPeriodValueSharebasedCompensationForfeited_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Shares Granted, Value, Share-Based Payment Arrangement, Forfeited</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockGrantedDuringPeriodValueSharebasedCompensationForfeited_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Awards granted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_ConsolidatedEntitiesDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Consolidated Entities [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxExpenseBenefit_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total income tax expense (benefit)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxExpenseBenefit_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Tax Expense (Benefit)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxExpenseBenefit_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Income tax benefit (expense)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxExpenseBenefit_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Income tax benefit recognized</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_StockIssuedDuringPeriodSharesRestrictedStockAwardVesting_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period Shares Restricted Stock Award Vesting</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_StockIssuedDuringPeriodSharesRestrictedStockAwardVesting_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Stock issued during period shares restricted stock award vesting</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_StockIssuedDuringPeriodSharesRestrictedStockAwardVesting_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock upon vesting of restricted stock units (in Shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_LiabilityMeasurementInput_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liability Measurement Input</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_LiabilityMeasurementInput_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Liability measurement input.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_LiabilityMeasurementInput_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Derivative liability, measurement input</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/terseLabel">Proceeds from the issuance of common 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/label">Proceeds from Issuance of Common 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">Proceeds from issuance of common stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CostsAndExpensesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cost and expenses:</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CostsAndExpensesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Costs and Expenses [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">Schedule of RSU Activity [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/terseLabel">Sock-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/label">Schedule of Share-Based Compensation Expense [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Estimated Fair Value Earnout Shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Measurement Inputs and Valuation Techniques [Table Text Block]</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="us-gaap_ConcentrationRiskCreditRisk_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash, Cash Equivalents and Restricted Cash and Concentration of Credit Risk</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConcentrationRiskCreditRisk_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Concentration Risk, Credit Risk, Policy [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseRemainingLeaseTerm_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Remaining term</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseRemainingLeaseTerm_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Remaining Lease Term</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_StockOptionFourMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Option Four [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_StockOptionFourMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stock Option [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_SubsequentEventsDetailsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subsequent Events (Details) [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ScheduleOfNetLossPerShareOfCommonStockPresentedInTheCondensedConsolidatedStatementsOfOperationsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Net Loss Per Share Of Common Stock Presented In The Condensed Consolidated Statements Of Operations [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FederalIncomeTaxExpenseBenefitContinuingOperations_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total federal</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FederalIncomeTaxExpenseBenefitContinuingOperations_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Federal Income Tax Expense (Benefit), Continuing Operations</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsToAcquirePropertyPlantAndEquipment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payments to Acquire Property, Plant, and Equipment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsToAcquirePropertyPlantAndEquipment_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Purchases of property and equipment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Grants in Period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Options, Granted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ReimbursementOfCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Reimbursement of costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ReimbursementOfCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represent the amount of reimbursement of costs.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ReimbursementOfCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Reimbursement Of Costs</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">Segment assets</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_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_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsExercisableWeightedAverageRemainingContractualTerm1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted Average Remaining Life (Years), Exercisable at the end of the period</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="airj_ClassOfWarrantOrRightExercisableEntityMayRedeemRedemptionCommonStockLastSalePriceThresholdMustExceed_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Warrant redemption condition minimum share price (in Dollars per share)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ClassOfWarrantOrRightExercisableEntityMayRedeemRedemptionCommonStockLastSalePriceThresholdMustExceed_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Class of warrant or right, exercisable, entity may redeem, redemption, common stock, last sale price, threshold, must exceed.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ClassOfWarrantOrRightExercisableEntityMayRedeemRedemptionCommonStockLastSalePriceThresholdMustExceed_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class Of Warrant Or Right Exercisable Entity May Redeem Redemption Common Stock Last Sale Price Threshold Must Exceed</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ExpectedAnnualizedEBITDA_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Expected Annualized EBITDA</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ExpectedAnnualizedEBITDA_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Expected annualized EBITDA</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ExpectedAnnualizedEBITDA_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Expected annualized EBITDA</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueOfFinancialInstrumentsPolicy_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair Value of Financial Instruments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueOfFinancialInstrumentsPolicy_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value of Financial Instruments, Policy [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationOptionAndIncentivePlansPolicy_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationOptionAndIncentivePlansPolicy_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_DeferredIncomeTaxExpenseBenefit_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Income Tax Expense (Benefit)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredIncomeTaxExpenseBenefit_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deferred tax expense (benefit)</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/verboseLabel">Sale of warrants</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_SaleOfStockNumberOfSharesIssuedInTransaction_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Sale of shares (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/verboseLabel">Shares sold</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">Shares issued</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 (in Shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Options, Vested</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Vested in Period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_PurchasesPursuantToEmployeeStockPurchasePlan_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Purchases Pursuant To Employee Stock Purchase Plan</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_PurchasesPursuantToEmployeeStockPurchasePlan_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Purchases pursuant to employee stock purchase plan.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_PurchasesPursuantToEmployeeStockPurchasePlan_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Purchases pursuant to employee stock purchase plan (in Shares)</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">Diluted net income (loss) per share of common stock</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">Diluted net income (loss) per share, common stock (in Dollars per share)</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="us-gaap_FairValueOptionQuantitativeDisclosuresLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Liabilities Subject to Fair Value Measurements [Line Items]</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="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="airj_PercentageOfLimitedContributionOfEmployeesEligibleCompensation_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percentage of Limited Contribution of Employee's Eligible Compensation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_PercentageOfLimitedContributionOfEmployeesEligibleCompensation_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of limited contribution of employee's eligible compensation.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_PercentageOfLimitedContributionOfEmployeesEligibleCompensation_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percentage of employee's eligible compensation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardExpirationDate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Options expire term</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardExpirationDate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Expiration Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_AuditorName_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Auditor Name</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_InprocessResearchAndDevelopment_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">In process research and development</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_InprocessResearchAndDevelopment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Inprocess Research And Development</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_InprocessResearchAndDevelopment_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Inprocess research and development.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LeaseAgreementsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Leases [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LeaseAgreementsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Lease Agreement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LeaseAgreementsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lease Agreements [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxExaminationPenaltiesAndInterestExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Recognized penalties and interest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxExaminationPenaltiesAndInterestExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Tax Examination, Penalties and Interest Expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxExaminationPenaltiesAndInterestExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Income Tax Examination, Penalties and Interest Expense, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LessorOperatingLeaseOptionToTerminate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Lease agreement terminate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LessorOperatingLeaseOptionToTerminate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessor, Operating Lease, Option to Terminate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentFaceAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Debt issuances exceed amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentFaceAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Face Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_BusinessCombinationTransactionCostsIncurred_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Transaction costs (in Dollars)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_BusinessCombinationTransactionCostsIncurred_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of transaction cost incurred.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_BusinessCombinationTransactionCostsIncurred_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination Transaction Costs Incurred</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ScheduleOfReconcilesBusinessCombinationToCashFlowsAndStockholdersEquityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Reconciles Business Combination to Cash Flows and Stockholders Equity [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ScheduleOfReconcilesBusinessCombinationToCashFlowsAndStockholdersEquityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Schedule of Reconciles Business Combination to Cash Flows and Stockholders Equity [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_ScheduleOfReconcilesBusinessCombinationToCashFlowsAndStockholdersEquityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Reconciles Business Combination</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GainLossRelatedToLitigationSettlement_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Gain on settlement of legal fees</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GainLossRelatedToLitigationSettlement_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Gain on settlement of legal fees</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GainLossRelatedToLitigationSettlement_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Gain (Loss) from Litigation Settlement</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_LiquidityandCapitalResourcesDetailsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liquidity and Capital Resources (Details) [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_FairValueMeasurementsDetailsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Measurements (Details) [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AwardDateAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Award Date [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccruedExchangeFeeRebateCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued transaction fees</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccruedExchangeFeeRebateCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accrued Exchange Fee Rebate, 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/terseLabel">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, 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_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_AwardDateDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Award Date [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CapitalizedContractCostTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Capitalized Contract Cost [Table]</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">Retained Earnings (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="airj_ScheduleOfTrueUpSharesLiabilityAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of True Up Shares Liability [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_VestingRelatedEarnoutMilestoneAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Vesting related to the earnout milestone amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_VestingRelatedEarnoutMilestoneAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of vesting related earnout mileston amount.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_VestingRelatedEarnoutMilestoneAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Vesting Related Earnout Milestone Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensation_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Noncash Expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensation_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Share-Based Payment Arrangement, Noncash Expense, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensation_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="airj_TrueUpSharesLiabilityLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of True Up Shares liability [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsOfStockIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payments of Stock Issuance Costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsOfStockIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Deferred offering costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_SubscriptionReceivableMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Subscription Receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_SubscriptionReceivableMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subscription Receivable [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_EstimatedFairValueOfEarnoutShares_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Estimated fair value of earnout shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_EstimatedFairValueOfEarnoutShares_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of estimated fair value of earnout shares.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="airj_EstimatedFairValueOfEarnoutShares_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Estimated Fair Value Of Earnout Shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Total non-current liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liabilities, Noncurrent</link:label>
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  <xsd:element id="airj_TwoThousandTwentyFourEmployeeStockPurchasePlanMember" name="TwoThousandTwentyFourEmployeeStockPurchasePlanMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_ReverseRecapitalizationValue" name="ReverseRecapitalizationValue" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="airj_SubsequentEventsDetailsTable" name="SubsequentEventsDetailsTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_ChangeInAccruedRoyalties" name="ChangeInAccruedRoyalties" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="airj_VariableInterestDifferenceBetweenCarryingAmount" name="VariableInterestDifferenceBetweenCarryingAmount" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="airj_ScheduleOfStraightLineMethodOverTheEstimatedUsefulLivesTableTextBlock" name="ScheduleOfStraightLineMethodOverTheEstimatedUsefulLivesTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="airj_LegacyMontanasMember" name="LegacyMontanasMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_CommitmentsandContingenciesDetailsTable" name="CommitmentsandContingenciesDetailsTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_ChangeInFairValueOfEquityLineObligationLiability" name="ChangeInFairValueOfEquityLineObligationLiability" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="airj_SummaryofSignificantAccountingPoliciesDetailsScheduleofNetLossPerShareofCommonStockPresentedintheCondensedConsolidatedStatementsofOperationsTable" name="SummaryofSignificantAccountingPoliciesDetailsScheduleofNetLossPerShareofCommonStockPresentedintheCondensedConsolidatedStatementsofOperationsTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_CapitalContributionsRemainingCommitmentAmount" name="CapitalContributionsRemainingCommitmentAmount" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="airj_DeferredTaxAssetsLeaseLiabilities" name="DeferredTaxAssetsLeaseLiabilities" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="airj_ProceedsFromTheIssuanceOfCommonStockPursuantToEquityLinePurchaseAgreement" name="ProceedsFromTheIssuanceOfCommonStockPursuantToEquityLinePurchaseAgreement" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="airj_StockSplitPricePerShare" name="StockSplitPricePerShare" type="dtr-types:perShareItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="airj_ClassACommonStockOfXPDB" name="ClassACommonStockOfXPDB" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="airj_EquityLinePurchaseAgreementProceedsValue" name="EquityLinePurchaseAgreementProceedsValue" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="airj_JuneSixTwoThousandAndTwentyFourMember" name="JuneSixTwoThousandAndTwentyFourMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_AggregatePayment" name="AggregatePayment" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="airj_ReversalOfAccruedRoyaltiesExpense" name="ReversalOfAccruedRoyaltiesExpense" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="airj_MembersContributionMember" name="MembersContributionMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_RelatedPartyTransactionsDetailsTable" name="RelatedPartyTransactionsDetailsTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_AdditionalFees" name="AdditionalFees" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="airj_ProceedsFromPIPEOfferingNet" name="ProceedsFromPIPEOfferingNet" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="airj_ScheduleOfNetLossPerShareOfCommonStockPresentedInTheCondensedConsolidatedStatementsOfOperationsAbstract" name="ScheduleOfNetLossPerShareOfCommonStockPresentedInTheCondensedConsolidatedStatementsOfOperationsAbstract" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_ScheduleOfEstimatedFairValueEarnoutSharesAbstract" name="ScheduleOfEstimatedFairValueEarnoutSharesAbstract" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_SubjectVestingPerShare" name="SubjectVestingPerShare" type="dtr-types:perShareItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="airj_LiabilitiesCombinedInRecapitalizationNet" name="LiabilitiesCombinedInRecapitalizationNet" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="airj_EarnoutSharesLiability" name="EarnoutSharesLiability" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="airj_BusinessCombinationClassACommonStock" name="BusinessCombinationClassACommonStock" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="airj_DecreaseInBasisDifferenceAsOfGoodwillImpairmentCharges" name="DecreaseInBasisDifferenceAsOfGoodwillImpairmentCharges" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="airj_SponsorMember" name="SponsorMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_DeferredOfferingCostsIncludedInAccruedExpensesAndOtherCurrentLiabilities" name="DeferredOfferingCostsIncludedInAccruedExpensesAndOtherCurrentLiabilities" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="airj_SponsorContributedAmount" name="SponsorContributedAmount" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="airj_ExpectedThresholdAnnualizedEBITDA" name="ExpectedThresholdAnnualizedEBITDA" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="airj_PurchasesPursuantToEmployeeStockPurchasePlanValue" name="PurchasesPursuantToEmployeeStockPurchasePlanValue" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="airj_ScheduleOfBusinessCombinationAbstract" name="ScheduleOfBusinessCombinationAbstract" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_StockIssuedDuringPeriodSharesRestrictedStockAwardVesting" name="StockIssuedDuringPeriodSharesRestrictedStockAwardVesting" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="airj_EarnoutSharesLiabilityPolicyTextBlock" name="EarnoutSharesLiabilityPolicyTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="airj_StockOptionOneMember" name="StockOptionOneMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_UnderwritersMember" name="UnderwritersMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_VestingSharesLiabilityLineItems" name="VestingSharesLiabilityLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_PercentageOfAggregateNumberOfIssuedAndOutstandingShares" name="PercentageOfAggregateNumberOfIssuedAndOutstandingShares" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="airj_WarrantsPolicyTextBlock" name="WarrantsPolicyTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="airj_MontanaTechnologiesCorporationMember" name="MontanaTechnologiesCorporationMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_TransactionCostsIncurredInConnectionWithBusinessCombination" name="TransactionCostsIncurredInConnectionWithBusinessCombination" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="airj_RestrictedStockUnitsWithService-OnlyConditionsMember" name="RestrictedStockUnitsWithService-OnlyConditionsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_ShareBasedCompensationArrangementByShareBasedPaymentAwardMaximumContributionOfEmployeesEligibleCompensationForPurchaseOfStock" name="ShareBasedCompensationArrangementByShareBasedPaymentAwardMaximumContributionOfEmployeesEligibleCompensationForPurchaseOfStock" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="airj_EarnoutShareLiabilityLineItems" name="EarnoutShareLiabilityLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_GEVernovaMember" name="GEVernovaMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_StockIssuedDuringPeriodSharesWarrantsExercised" name="StockIssuedDuringPeriodSharesWarrantsExercised" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="airj_SubscriptionReceivableMember" name="SubscriptionReceivableMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_EffectiveIncomeTaxRateReconciliationNondeductibleExpenseCostsRelatedToBusinessCombinationPercent" name="EffectiveIncomeTaxRateReconciliationNondeductibleExpenseCostsRelatedToBusinessCombinationPercent" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="airj_NonEmployeeDirectorPostCombination" name="NonEmployeeDirectorPostCombination" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="airj_ScheduleOfTrueUpSharesLiabilityAbstract" name="ScheduleOfTrueUpSharesLiabilityAbstract" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_June62024Member" name="June62024Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_LeasesDetailsTable" name="LeasesDetailsTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_SeptemberNineTwoThousandAndTwentyFourMember" name="SeptemberNineTwoThousandAndTwentyFourMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_AggregatePercentage" name="AggregatePercentage" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="airj_SubjectVestingSharesLiability" name="SubjectVestingSharesLiability" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="airj_IncreaseInBasisDifferenceAsOfGoodwillImpairmentCharges" name="IncreaseInBasisDifferenceAsOfGoodwillImpairmentCharges" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="airj_IssuanceOfTrueUpShares" name="IssuanceOfTrueUpShares" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="airj_OrganizationandBusinessOperationsDetailsTable" name="OrganizationandBusinessOperationsDetailsTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_ReimbursementReceived" name="ReimbursementReceived" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="airj_ReimbursementForLegalAndOtherOut-Of-PocketExpenses" name="ReimbursementForLegalAndOtherOut-Of-PocketExpenses" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="airj_Share-BasedCompensationArrangementByShare-BasedPaymentAwardEquityInstrumentsOtherThanOptionsReleasedWeightedAverageGrantDateFairValue" name="Share-BasedCompensationArrangementByShare-BasedPaymentAwardEquityInstrumentsOtherThanOptionsReleasedWeightedAverageGrantDateFairValue" type="dtr-types:perShareItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="airj_ProceedsFromExerciseOfOptionsAndPurchasesPursuantToEmployeeStockPurchasePlan" name="ProceedsFromExerciseOfOptionsAndPurchasesPursuantToEmployeeStockPurchasePlan" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="airj_SubscriptionAgreementsMember" name="SubscriptionAgreementsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_ConsultancyAgreementMember" name="ConsultancyAgreementMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_AccruedBusinessDevelopmentCurrent" name="AccruedBusinessDevelopmentCurrent" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="airj_ChangeInFairValueOfEquityLineObligationLiabilityExceptCEFTransactions" name="ChangeInFairValueOfEquityLineObligationLiabilityExceptCEFTransactions" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="airj_ScheduleOfLiabilitiesSubjectToFairValueMeasurementsAbstract" name="ScheduleOfLiabilitiesSubjectToFairValueMeasurementsAbstract" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_ReversalOfRoyaltiesExpense" name="ReversalOfRoyaltiesExpense" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="airj_September92024Member" name="September92024Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_SecondAmendedAndRestatedLicenseAgreementMember" name="SecondAmendedAndRestatedLicenseAgreementMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_StockBasedCompensationDetailsTable" name="StockBasedCompensationDetailsTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_IssuanceOfTrueUpSharesShares" name="IssuanceOfTrueUpSharesShares" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="airj_VestingRelatedEarnoutMilestoneAmount" name="VestingRelatedEarnoutMilestoneAmount" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="airj_ScheduleOfCondensedIncomeStatementLineItems" name="ScheduleOfCondensedIncomeStatementLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_WarrantPurchasePrice" name="WarrantPurchasePrice" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="airj_FairValueMeasurementsDetailsScheduleofEarnoutShareLiabilityTable" name="FairValueMeasurementsDetailsScheduleofEarnoutShareLiabilityTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_ClassCommonStockOutstandingPriorToTheBusinessCombination" name="ClassCommonStockOutstandingPriorToTheBusinessCombination" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="airj_GrossProceedsFromIssuanceInitialPublicOffering" name="GrossProceedsFromIssuanceInitialPublicOffering" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="airj_CAMTMember" name="CAMTMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_PreferredUnitsMember" name="PreferredUnitsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_EquityLinePurchaseAgreementProceeds" name="EquityLinePurchaseAgreementProceeds" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="airj_BloombergLPMember" name="BloombergLPMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_LicenseAgreementMember" name="LicenseAgreementMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_InitialRecognitionOfROUAssetAndOperatingLeaseLiability" name="InitialRecognitionOfROUAssetAndOperatingLeaseLiability" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="airj_LiquidityAndCapitalResourcesLineItems" name="LiquidityAndCapitalResourcesLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_EstimatedFairValueOfEarnoutShares" name="EstimatedFairValueOfEarnoutShares" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="airj_DeferredTaxLiabilitiesRightofuseAsset" name="DeferredTaxLiabilitiesRightofuseAsset" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="airj_StockholdersEquityDeficitDetailsTable" name="StockholdersEquityDeficitDetailsTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_workingCapitalDeficit" name="workingCapitalDeficit" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="airj_LegacyMontanaOptionsMember" name="LegacyMontanaOptionsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_AirJouleJVMember" name="AirJouleJVMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_DeferredTaxLiabilitiesOutsideBasisInJointVenture" name="DeferredTaxLiabilitiesOutsideBasisInJointVenture" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="airj_PipeOfferingProceedsNetValue" name="PipeOfferingProceedsNetValue" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="airj_WeightedAveragePriceVestingPerShare" name="WeightedAveragePriceVestingPerShare" type="dtr-types:perShareItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="airj_RestrictedStockUnitsWithPerformanceBasedConditionsMember" name="RestrictedStockUnitsWithPerformanceBasedConditionsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_ARJointVentureAgreementMember" name="ARJointVentureAgreementMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_TrueUpSharesLiabilityLineItems" name="TrueUpSharesLiabilityLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_NumberOfSharesOwned" name="NumberOfSharesOwned" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="airj_AggregateEarnoutShares" name="AggregateEarnoutShares" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="airj_StockIssuedDuringPeriodSharesReverseCapitalizationNetOfTransactionCosts" name="StockIssuedDuringPeriodSharesReverseCapitalizationNetOfTransactionCosts" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="airj_ScheduleOfEarnoutShareLiabilityAbstract" name="ScheduleOfEarnoutShareLiabilityAbstract" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_BusinessCombinationsEarnoutSharesLiability" name="BusinessCombinationsEarnoutSharesLiability" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="airj_ScheduleOfEarnoutShareLiabilityTableTextBlock" name="ScheduleOfEarnoutShareLiabilityTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="airj_TrueUpSharesLiability" name="TrueUpSharesLiability" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="airj_AwardsVestMember" name="AwardsVestMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_AccruedEngineeringConsultingCurrent" name="AccruedEngineeringConsultingCurrent" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="airj_BusinessCombinationTransactionCostsIncurred" name="BusinessCombinationTransactionCostsIncurred" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="airj_PipeOfferingProceedsNet" name="PipeOfferingProceedsNet" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="airj_ClassOfWarrantOrRightExercisableEntityMayRedeemRedemptionCommonStockLastSalePriceTradingDaysNumber" name="ClassOfWarrantOrRightExercisableEntityMayRedeemRedemptionCommonStockLastSalePriceTradingDaysNumber" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="airj_SalesRelatedToCommittedEquityFacility" name="SalesRelatedToCommittedEquityFacility" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="airj_WarrantsToPurchaseClassACommonStockMember" name="WarrantsToPurchaseClassACommonStockMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_ScheduleOfCondensedIncomeStatementAbstract" name="ScheduleOfCondensedIncomeStatementAbstract" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_InProcessResearchAndDevelopmentImpairment" name="InProcessResearchAndDevelopmentImpairment" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="airj_ReversalOfShareBasedCompensationExpense" name="ReversalOfShareBasedCompensationExpense" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="airj_InvestmentInAirJouleLLC" name="InvestmentInAirJouleLLC" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="airj_ScheduleOfReconcilesBusinessCombinationToCashFlowsAndStockholdersEquityTableTextBlock" name="ScheduleOfReconcilesBusinessCombinationToCashFlowsAndStockholdersEquityTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="airj_ContributionOfLicenseOfTechnologyToAirJouleLLC" name="ContributionOfLicenseOfTechnologyToAirJouleLLC" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="airj_FairValueMeasurementsDetailsScheduleofTrueUpSharesliabilityTable" name="FairValueMeasurementsDetailsScheduleofTrueUpSharesliabilityTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_FairValueMeasurementsDetailsTable" name="FairValueMeasurementsDetailsTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_SubjectVestingSharesLiabilityNonCurrent" name="SubjectVestingSharesLiabilityNonCurrent" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="airj_InprocessResearchAndDevelopment" name="InprocessResearchAndDevelopment" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="airj_NumberOfThresholdTradingDays" name="NumberOfThresholdTradingDays" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="airj_EffectiveIncomeTaxRateReconciliationNondeductibleExpenseChangeInFairValueOfEarnoutTrue-UpSubjectVestingAndEquityLineLiabilitiesAmount" name="EffectiveIncomeTaxRateReconciliationNondeductibleExpenseChangeInFairValueOfEarnoutTrue-UpSubjectVestingAndEquityLineLiabilitiesAmount" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="airj_JointVentureAgreementMember" name="JointVentureAgreementMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_NasdaqMember" name="NasdaqMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_StockOptionThreeMember" name="StockOptionThreeMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_EquityMethodInvestmentDetailsTable" name="EquityMethodInvestmentDetailsTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_PIPEInvestmentMember" name="PIPEInvestmentMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_XPDBMember" name="XPDBMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_ScheduleOfEstimatedUsefulLivesAbstract" name="ScheduleOfEstimatedUsefulLivesAbstract" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_AggregatesPurchasePrice" name="AggregatesPurchasePrice" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="airj_RestrictedStockUnitsWithMarket-BasedConditionsMember" name="RestrictedStockUnitsWithMarket-BasedConditionsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_EffectiveIncomeTaxRateReconciliationNondeductibleExpenseChangeInFairValueOfEarnoutTrue-UpSubjectVestingAndEquityLineLiabilitiesPercent" name="EffectiveIncomeTaxRateReconciliationNondeductibleExpenseChangeInFairValueOfEarnoutTrue-UpSubjectVestingAndEquityLineLiabilitiesPercent" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="airj_StockIssuedDuringPeriodValueConversionOfClassBCommonStockToClassACommonStock" name="StockIssuedDuringPeriodValueConversionOfClassBCommonStockToClassACommonStock" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="airj_TrueUpShareLiability" name="TrueUpShareLiability" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="airj_EffectiveIncomeTaxRateReconciliationChangesInUnrecognizedTaxBenefitsAmount" name="EffectiveIncomeTaxRateReconciliationChangesInUnrecognizedTaxBenefitsAmount" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="airj_UnderwritingDiscountsAndCommissions" name="UnderwritingDiscountsAndCommissions" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="airj_CommonStockImmediatelyAfterTheBusinessCombination" name="CommonStockImmediatelyAfterTheBusinessCombination" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="airj_NonemployeeEquityMethodInvesteesMember" name="NonemployeeEquityMethodInvesteesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_StockIssuedDuringPeriodSharesRetroactiveApplicationOfRecapitalization" name="StockIssuedDuringPeriodSharesRetroactiveApplicationOfRecapitalization" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="airj_SeriesBPreferredUnitsMember" name="SeriesBPreferredUnitsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_MontanaTechnologiesLLCMember" name="MontanaTechnologiesLLCMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_PercentageOfLimitedContributionOfEmployeesEligibleCompensation" name="PercentageOfLimitedContributionOfEmployeesEligibleCompensation" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="airj_April2025PIPESubscriptionAgreementsMember" name="April2025PIPESubscriptionAgreementsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_StockBasedCompensationDetailsScheduleofRestrictedStockUnitsTable" name="StockBasedCompensationDetailsScheduleofRestrictedStockUnitsTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_NumberOfThresholdConsecutiveTradingDays" name="NumberOfThresholdConsecutiveTradingDays" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="airj_MontanasSharesAfterCconversionRatioMember" name="MontanasSharesAfterCconversionRatioMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_EarnoutShares" name="EarnoutShares" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="airj_RedemptionOfXPDBClassACommonStock" name="RedemptionOfXPDBClassACommonStock" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="airj_EquityLineObligationCurrent" name="EquityLineObligationCurrent" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="airj_ClassACommonStockParValue00001PerShareMember" name="ClassACommonStockParValue00001PerShareMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_TrueUpSharesLiabilityCurrent" name="TrueUpSharesLiabilityCurrent" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="airj_TrueUpSharesLiabilityMember" name="TrueUpSharesLiabilityMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_VolumeWeightedAveragePriceMember" name="VolumeWeightedAveragePriceMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_AggregateGrossPurchasePrice" name="AggregateGrossPurchasePrice" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="airj_StockOptionFourMember" name="StockOptionFourMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_ScheduleOfVestingSharesLiabilityTableTextBlock" name="ScheduleOfVestingSharesLiabilityTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="airj_EquityLinePurchaseAgreementTerm" name="EquityLinePurchaseAgreementTerm" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="airj_TotalOutstandingPercentage" name="TotalOutstandingPercentage" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="airj_SubjectVestingSharesMember" name="SubjectVestingSharesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_InitialRecognitionOfTrueUpSharesLiability" name="InitialRecognitionOfTrueUpSharesLiability" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="airj_FairValueMeasurementsDetailsScheduleofLiabilitiesSubjecttoFairValueMeasurementsTable" name="FairValueMeasurementsDetailsScheduleofLiabilitiesSubjecttoFairValueMeasurementsTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_VestingAdditionPerShares" name="VestingAdditionPerShares" type="dtr-types:perShareItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="airj_LiquidityAndCapitalResourcesAbstract" name="LiquidityAndCapitalResourcesAbstract" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_PublicWarrantsMember" name="PublicWarrantsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_EmployeeEquityMethodInvesteesMember" name="EmployeeEquityMethodInvesteesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_StockIssuedDuringPeriodValueExerciseOfWarrants" name="StockIssuedDuringPeriodValueExerciseOfWarrants" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="airj_ChangeInFairValueOfSubjectVestingShares" name="ChangeInFairValueOfSubjectVestingShares" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="airj_EffectiveIncomeTaxRateReconciliationNondeductibleExpenseCostsRelatedToBusinessCombinationAmount" name="EffectiveIncomeTaxRateReconciliationNondeductibleExpenseCostsRelatedToBusinessCombinationAmount" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="airj_AirJouleLLCMember" name="AirJouleLLCMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_GEVenturesLLCMember" name="GEVenturesLLCMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_ReimbursementOfCosts" name="ReimbursementOfCosts" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="airj_ScheduleOfVestingSharesLiabilityAbstract" name="ScheduleOfVestingSharesLiabilityAbstract" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_FairValueMeasurementsDetailsScheduleofVestingSharesLiabilityTable" name="FairValueMeasurementsDetailsScheduleofVestingSharesLiabilityTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_StockOptionTwoMember" name="StockOptionTwoMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_StockSpilitPricePerShare" name="StockSpilitPricePerShare" type="dtr-types:perShareItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="airj_ExpensedAsTransactionCostOfBusinessCombination" name="ExpensedAsTransactionCostOfBusinessCombination" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="airj_AdjustmentsAndReconcilingItems" name="AdjustmentsAndReconcilingItems" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="airj_ScheduleOfReconciliationOfTaxesAtTheFederalStatutoryRateToTheCompanySEffectiveTaxRateAbstract" name="ScheduleOfReconciliationOfTaxesAtTheFederalStatutoryRateToTheCompanySEffectiveTaxRateAbstract" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_ClassOfWarrantOrRightExercisableEntityMayRedeemRedemptionCommonStockLastSalePriceThresholdMustExceed" name="ClassOfWarrantOrRightExercisableEntityMayRedeemRedemptionCommonStockLastSalePriceThresholdMustExceed" type="dtr-types:perShareItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="airj_StockIssuedDuringPeriodSharesConversionOfClassBCommonStockToClassACommonStockInShares" name="StockIssuedDuringPeriodSharesConversionOfClassBCommonStockToClassACommonStockInShares" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="airj_ScheduleOfTrueUpSharesLiabilityTableTextBlock" name="ScheduleOfTrueUpSharesLiabilityTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="airj_NonemployeeDirectorsMember" name="NonemployeeDirectorsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_ClassOfWarrantOrRightExercisableEntityMayRedeemRedemptionCommonStockLastSalePriceConsecutiveTradingDayPeriodDaysNumber" name="ClassOfWarrantOrRightExercisableEntityMayRedeemRedemptionCommonStockLastSalePriceConsecutiveTradingDayPeriodDaysNumber" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="airj_EffectiveIncomeTaxRateReconciliationChangesInUnrecognizedTaxBenefitsPercent" name="EffectiveIncomeTaxRateReconciliationChangesInUnrecognizedTaxBenefitsPercent" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="airj_PurchaseOfWarrants" name="PurchaseOfWarrants" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="airj_ScheduleOfFinancialInformationAbstract" name="ScheduleOfFinancialInformationAbstract" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_RecapitalizationTextBlock" name="RecapitalizationTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="airj_PercentageOfSharesIssued" name="PercentageOfSharesIssued" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="airj_EarnoutTerm" name="EarnoutTerm" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="airj_ScheduleOfRestrictedStockUnitsAbstract" name="ScheduleOfRestrictedStockUnitsAbstract" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_Share-BasedCompensationArrangementByShare-BasedPaymentAwardEquityInstrumentsOtherThanOptionsReleasedInPeriod" name="Share-BasedCompensationArrangementByShare-BasedPaymentAwardEquityInstrumentsOtherThanOptionsReleasedInPeriod" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="airj_TwoThousandTwentyFourIncentiveAwardPlanMember" name="TwoThousandTwentyFourIncentiveAwardPlanMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_StockIssuedDuringPeriodValueRestrictedStockAwardVesting" name="StockIssuedDuringPeriodValueRestrictedStockAwardVesting" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="airj_LiabilityMeasurementInput" name="LiabilityMeasurementInput" type="xbrli:decimalItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="airj_NoncashTransactionCostsInConnectionWithBusinessCombination" name="NoncashTransactionCostsInConnectionWithBusinessCombination" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="airj_ScheduleOfReconcilesSegmentAssetsToConsolidatedAssetsAbstract" name="ScheduleOfReconcilesSegmentAssetsToConsolidatedAssetsAbstract" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_LegacyMontanaEquityHoldersMember" name="LegacyMontanaEquityHoldersMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_PrivatePlacementWarrantMember" name="PrivatePlacementWarrantMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_AnnualizedAmount" name="AnnualizedAmount" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="airj_ThresholdAnnualizedEBITDA" name="ThresholdAnnualizedEBITDA" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="airj_ShareBasedCompensationArrangementByShareBasedPaymentAwardValuePurchasePrice" name="ShareBasedCompensationArrangementByShareBasedPaymentAwardValuePurchasePrice" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="airj_LegacyMontanaSharesinDollars" name="LegacyMontanaSharesinDollars" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="airj_EmployeesMember" name="EmployeesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="airj_ExpectedAnnualizedEBITDA" name="ExpectedAnnualizedEBITDA" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="airj_InitialRecognitionOfSubjectVestingSharesLiabilities" name="InitialRecognitionOfSubjectVestingSharesLiabilities" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="airj_LegacyMontanaUnitsMember" name="LegacyMontanaUnitsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
</xsd:schema>
