Description of Organization and Summary of Significant Accounting Policies - Convertible Notes and Warrants (Details)	Jun. 30, 2025
Description of Organization and Summary of Significant Accounting Policies
Minimum premium percentage for assessment of conversion feature	10.00%

Threshold minimum percentage of premium considered for assessing whether the debts are issued at substantial premium to determine the conversion feature of the convertible instrument.

No definition available.

Name:	angel_DebtInstrumentConvertibleThresholdMinimumPremiumPercentageForAssessmentOfConversionFeature
Namespace Prefix:	angel_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	instant