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Commitments and Contingencies (Details) - USD ($)		6 Months Ended
	Dec. 19, 2025	Dec. 31, 2025
Commitments and Contingencies
Deferred underwriting discount	$ 9,800,000	$ 9,800,000
Underwriters' reimbursement	184,940	$ (184,940)
Deferred customary advisory fees	$ 980,000
Percentage of underwriter non-reimbursable expense	10.00%
Over-allotment option
Commitments and Contingencies
Overallotment option period	45 days
Maximum number of additional units offered for purchase	3,000,000
Additional number of units exercised	3,000,000
Cash underwriting discount	$ 4,000,000
Deferred underwriting discount	$ 9,800,000

X

- Definition

The amount of underwriting discount paid in cash.

+ References

No definition available.

+ Details

Name:	adac_CashUnderwritingDiscountPaid
Namespace Prefix:	adac_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

X

- Definition

Amount of deferred customary advisory fees.

+ References

No definition available.

+ Details

Name:	adac_DeferredCustomaryAdvisoryFees
Namespace Prefix:	adac_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

X

- Definition

Amount of underwriting fee payable as of the balance sheet date.

+ References

No definition available.

+ Details

Name:	adac_DeferredUnderwritingFee
Namespace Prefix:	adac_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

X

- Definition

Maximum number of additional units offered to purchase by the underwriters during the option period.

+ References

No definition available.

+ Details

Name:	adac_MaximumNumberOfAdditionalUnitsOfferedForPurchase
Namespace Prefix:	adac_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	instant

X

- Definition

Represent the number of additional units purchased by the underwriter upon exercise the over allotment option.

+ References

No definition available.

+ Details

Name:	adac_NumberOfAdditionalUnitsPurchased
Namespace Prefix:	adac_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	instant

X

- Definition

Represent the over allotment period within which the underwriter has to exercise the over allotment option.

+ References

No definition available.

+ Details

Name:	adac_OverallotmentOptionPeriod
Namespace Prefix:	adac_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration

X

- Definition

The cash outflow from payment of customary advisory fees.

+ References

No definition available.

+ Details

Name:	adac_PaymentForCustomaryAdvisoryFees
Namespace Prefix:	adac_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

X

- Definition

Percentage of underwriter's expenses which is not reimbursable.

+ References

No definition available.

+ Details

Name:	adac_PercentageOfUnderwriterNonReimbursableExpense
Namespace Prefix:	adac_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	duration

X

- Definition

Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

+ References

No definition available.

+ Details

Name:	us-gaap_SubsidiarySaleOfStockLineItems
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

X

- Details

Name:	us-gaap_SubsidiarySaleOfStockAxis=us-gaap_OverAllotmentOptionMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: