Number of warrants issued to purchase stock.

No definition available.

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Namespace Prefix:	adgm_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	duration

- Definition

Represents the number of shares issued upon exercise of warrants.

+ References

No definition available.

+ Details

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Namespace Prefix:	adgm_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	duration

- Definition

Represents the number of warrants exercised during the reported period.

+ References

No definition available.

+ Details

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Namespace Prefix:	adgm_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	duration

- Definition

Exercise price per share or per unit of warrants or rights outstanding.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 505
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 3
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-URI https://asc.fasb.org/1943274/2147481112/505-10-50-3

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- 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

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- Definition

Number of warrants or rights outstanding.

+ References

No definition available.

+ Details

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Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	instant

- Definition

The cash inflow from the issuance of common stock, preferred stock, treasury stock, stock options, and other types of equity.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
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Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

Number of new stock issued during the period.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
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- Details

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Warrants - PIPE Pre-funded Warrants (Details) - USD ($) $ / shares in Units, $ in Millions				6 Months Ended
	Dec. 26, 2024	Jul. 31, 2024	Jun. 25, 2024	Jun. 30, 2025	Dec. 31, 2024
Warrants
Share issued during period, warrants exercised				34,680
PIPE Pre-funded warrants
Warrants
Number of warrants issued		670,000		670,000
Shares issued during period (in shares)				3,287,018
Exercise price (in USD per share)	$ 0.9705	$ 0.01		$ 0.01
Warrants exercised (in shares)	670,000
Share issued during period, warrants exercised	663,096
Warrants outstanding (in shares)				0	0
Pre-funded Warrants [Member]
Warrants
Number of warrants issued			207,902	670,000
Shares issued during period (in shares)				681,111
Exercise price (in USD per share)			$ 0.001	$ 0.01
Pre-funded Warrants [Member] \| Other PIPE Investor
Warrants
Number of warrants issued				1,140,000
Issuance or sale of equity				$ 9.5
Base Warrants
Warrants
Number of warrants issued				3,345,069
Exercise price (in USD per share)				$ 2.41
Warrants outstanding (in shares)				7,528,727	7,528,727