Summary of Significant Accounting Policies - Revenue Recognition (Details)	3 Months Ended
Mar. 31, 2025
Summary of Significant Accounting Policies
Customer payment period	30 days

The period within which customers are generally required to pay, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

No definition available.

Name:	adgm_CustomerPaymentPeriod
Namespace Prefix:	adgm_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration