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Commitments and Contingencies (Details) $ in Millions	12 Months Ended
	Dec. 31, 2024 USD ($)
Commitments and Contingencies Disclosure [Abstract]
License expense	$ 0.4
Future minimum payments	20.9
Future minimum payments, thereafter	$ 0.1

X

- Definition

License Expense

+ References

No definition available.

+ Details

Name:	angn_LicenseExpense
Namespace Prefix:	angn_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

X

- Definition

Operating Lease, Future Minimum, Annual Maintenance Payments

+ References

No definition available.

+ Details

Name:	angn_OperatingLeaseFutureMinimumAnnualMaintenancePayments
Namespace Prefix:	angn_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

X

- Definition

Operating Lease, Future Minimum, Annual Maintenance Payments, Due Thereafter

+ References

No definition available.

+ Details

Name:	angn_OperatingLeaseFutureMinimumAnnualMaintenancePaymentsDueThereafter
Namespace Prefix:	angn_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

X

- References

No definition available.

+ Details

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