Represents the number of warrants exchanged into shares of common stock.

No definition available.

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Namespace Prefix:	adgm_
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Balance Type:	na
Period Type:	duration

- Definition

Number of warrants issued to purchase stock.

+ 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 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

The number of pre-funded warrants issued upon exchange for the extinguishment of convertible preferred stock classified as temporary equity.

+ References

No definition available.

+ Details

Name:	adgm_TemporaryEquityPrefundedWarrantsIssuedInExchangeOfExtinguishmentShares
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
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147481112/505-10-50-3

+ Details

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Namespace Prefix:	us-gaap_
Data Type:	dtr-types:perShareItemType
Balance Type:	na
Period Type:	instant

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

- Definition

Number of securities into which the class of warrant or right may be converted. For example, but not limited to, 500,000 warrants may be converted into 1,000,000 shares.

+ References

+ Details

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	instant

- Details

Name:	us-gaap_ClassOfWarrantOrRightAxis=adgm_SeriesEPreFundedWarrantsMember
Namespace Prefix:
Data Type:	na
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Period Type:

- Details

Name:	us-gaap_ClassOfWarrantOrRightAxis=adgm_PreFundedWarrantsMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

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

Warrants - Series E Pre-funded Warrants (Details) - $ / shares		3 Months Ended	6 Months Ended
	Jun. 25, 2024	Jun. 30, 2024	Jun. 30, 2025	Jun. 30, 2024
Warrants
Exchange preferred stock for pre-funded warrants (shares)		(207,902)		(207,902)
Share issued during period, warrants exercised			34,680
Series E Pre-funded Warrants
Warrants
Class of Warrant or Right, Exchanged in Shares			207,902
Pre-funded Warrants
Warrants
Number of warrants issued	207,902		670,000
Exercise price (in USD per share)	$ 0.001		$ 0.01
Pre-funded Warrants \| Series E Preferred Stock
Warrants
Shares issued or issuable in the exercise of warrants	207,902
Exchange preferred stock for pre-funded warrants (shares)	207,902
Exercise price (in USD per share)	$ 0.001