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Non-controlling Interest - Schedule Of Approximate Interests In Certain Consolidated Subsidiaries (Details)	Sep. 30, 2025	Dec. 31, 2024
MiNK Therapeutics, Inc.
Minority Interest [Line Items]
Percentage of Non-controlling interest	0.00%	45.00%
SaponiQx, Inc.
Minority Interest [Line Items]
Percentage of Non-controlling interest	30.00%	30.00%

X

- 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

The parent entity's interest in net assets of the subsidiary, expressed as a percentage.

+ References

No definition available.

+ Details

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X

- Details

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X

- Details

Name:	srt_OwnershipAxis=agen_SaponiQxIncMember
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