Fair Value Measurements - Pre-funded Warrant (Details) - PIPE Pre-funded warrants - $ / shares			12 Months Ended
Dec. 26, 2024	Jul. 31, 2024	Dec. 31, 2024
Warrants
Number of warrants issued		670,000	670,000
Shares called by per each warrant		1	1
Exercise price (in USD per share)	$ 0.9705	$ 0.01	$ 0.01
Warrants exercised (in shares)	670,000
Number of shares issued on the exercise of warrants	663,096

Number of warrants issued to purchase stock.

No definition available.

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Namespace Prefix:	adgm_
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- 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
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- 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
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147481112/505-10-50-3

+ Details

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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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Period Type:	duration

- Definition

Number of securities into which each warrant or right may be converted. For example, but not limited to, each warrant may be converted into two shares.

+ References

No definition available.

+ Details

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Namespace Prefix:	us-gaap_
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- Details

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