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Fair Value Measurements (Details) - Schedule of Vesting Shares Liability - USD ($) | 3 Months Ended
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Mar. 31, 2024 | Mar. 31, 2023
Schedule of Vesting Shares Liability [Abstract] |  |
Balance at beginning |  |
Assumed in the Business Combination | 11,792,000 |
Change in fair value | 2,425,000 |
Balance at ending | $ 14,217,000 |

X
- Definition Initial recognition of subject vesting shares liabilities. + References No definition available. + Details
Name: | airj_InitialRecognitionOfSubjectVestingSharesLiabilities
Namespace Prefix: | airj_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

X
- References No definition available. + Details
Name: | airj_ScheduleOfVestingSharesLiabilityAbstract
Namespace Prefix: | airj_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

X
- Definition The amount of subject vesting shares liability. + References No definition available. + Details
Name: | airj_SubjectVestingSharesLiability
Namespace Prefix: | airj_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

X
- Definition Amount of addition (reduction) to the amount at which a liability could be incurred (settled) in a current transaction between willing parties. + References No definition available. + Details
Name: | us-gaap_LiabilitiesFairValueAdjustment
Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration