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Fair Value Measurements (Details) - Schedule of Vesting Shares Liability - USD ($)	3 Months Ended
	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