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Note 2 - Summary of Significant Accounting Policies - Warrant Assumptions (Details) - Public Warrants [Member]	Jun. 30, 2025 $ / shares	Feb. 12, 2025 $ / shares
Calculated value per warrant (in dollars per share)	$ 0.15	$ 0.15
Measurement Input, Share Price [Member]
Warrants, assumption		9.93
Measurement Input, Exercise Price [Member]
Warrants, assumption		11.5
Measurement Input, Expected Term [Member]
Warrants, assumption		6.5
Measurement Input, Risk Free Interest Rate [Member]
Warrants, assumption		0.0449
Measurement Input, Price Volatility [Member]
Warrants, assumption		0.03
Probability of De-SPAC and Market Adjustment [Member]
Warrants, assumption		0.11

X

- Definition

Per share fair value of outstanding derivative securities that permit the holder the right to purchase securities (usually equity) from the issuer at a specified price.

+ References

No definition available.

+ Details

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Namespace Prefix:	atiiu_
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Balance Type:	na
Period Type:	instant

X

- Definition

Value of input used to measure outstanding warrant and right embodying unconditional obligation requiring redemption by transferring asset at specified or determinable date or upon event certain to occur.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 820
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 2
-Subparagraph (bbb)(2)(i)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482106/820-10-50-2

Reference 2: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 820
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 2
-Subparagraph (bbb)(2)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482106/820-10-50-2

Reference 3: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 820
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 2
-Subparagraph (bbb)(1)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482106/820-10-50-2

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- Details

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