Summary of Significant Accounting Policies - Convertible Preferred Stock (Details) $ / shares in Units, $ in Millions	12 Months Ended
Dec. 31, 2025 USD ($) $ / shares
Summary of Significant Accounting Policies
Aggregate gross proceeds \| $	$ 75.0
Public offering price per share \| $ / shares	$ 67.83

Represents the minimum proceeds from issuance of common stock for automatic conversion of preferred stock.

No definition available.

Name:	adgm_MinimumProceedsFromIssuanceOfCommonStockForAutomaticConversionOfPreferredStock
Namespace Prefix:	adgm_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration