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Fair Value Measurements - Schedule of Earnout Share Liability (Details)	3 Months Ended
	Mar. 31, 2025 USD ($)
Schedule of Earnout Share Liability [Line Items]
Balance ending	$ 11,692,000
Earnout Shares [Member]
Schedule of Earnout Share Liability [Line Items]
Balance beginning	24,524,000
Change in fair value	(12,832,000)
Balance ending	$ 11,692,000

X

- References

No definition available.

+ Details

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

X

- Definition

The amount of earnout shares liability.

+ References

No definition available.

+ Details

Name:	airj_EarnoutSharesLiability
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

X

- Details

Name:	us-gaap_StatementClassOfStockAxis=airj_EarnoutSharesMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: