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Fair Value Measurements - Schedule of Vesting Shares Liability (Details) - USD ($)	3 Months Ended
	Mar. 31, 2025	Mar. 31, 2024
Schedule of Vesting Shares Liability [Line Items]
Assumed in the Business Combination		$ 11,792,000
Balance ending	2,345,000
Subject Vesting Shares [Member]
Schedule of Vesting Shares Liability [Line Items]
Balance beginning	7,819,000
Change in fair value	(5,474,000)
Balance ending	$ 2,345,000

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

- 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

- References

No definition available.

+ Details

Name:	airj_VestingSharesLiabilityLineItems
Namespace Prefix:	airj_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

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

X

- Details

Name:	us-gaap_FinancialInstrumentAxis=airj_SubjectVestingSharesMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: