Threshold amount of consideration transferred in a business combination.

No definition available.

Name:	angel_BusinessCombinationConsiderationThresholdAmount
Namespace Prefix:	angel_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

- Definition

After closing period during which consecutive trading days should not be taken in to account.

+ References

No definition available.

+ Details

Name:	angel_BusinessCombinationLockUpAgreementAfterClosingPeriodForNonCommencementOfConsecutiveTradingDays
Namespace Prefix:	angel_
Data Type:	xbrli:integerItemType
Balance Type:	na
Period Type:	duration

- Definition

Consecutive Trading days during which last reported sale price exceeds.

+ References

No definition available.

+ Details

Name:	angel_BusinessCombinationLockUpAgreementConsecutiveTradingDays
Namespace Prefix:	angel_
Data Type:	xbrli:integerItemType
Balance Type:	na
Period Type:	duration

- Definition

The last reported sale price threshold that must be achieved per share of southport common stock.

+ References

No definition available.

+ Details

Name:	angel_BusinessCombinationLockUpAgreementLastReportedStockPriceTrigger
Namespace Prefix:	angel_
Data Type:	dtr-types:perShareItemType
Balance Type:	na
Period Type:	instant

- Definition

Percentage of lock up shares on which restrictions for transfer of shares was imposed.

+ References

No definition available.

+ Details

Name:	angel_BusinessCombinationLockUpAgreementPercentageOfLockUpShares
Namespace Prefix:	angel_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	duration

- Definition

Restriction period after closing of business combination during which restrictions on transfer of shares was imposed.

+ References

No definition available.

+ Details

Name:	angel_BusinessCombinationLockUpAgreementRestrictionsOnTransferRestrictionPeriod
Namespace Prefix:	angel_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration

- Definition

Trading days during which last reported sale price exceeds.

+ References

No definition available.

+ Details

Name:	angel_BusinessCombinationLockUpAgreementTradingDays
Namespace Prefix:	angel_
Data Type:	xbrli:integerItemType
Balance Type:	na
Period Type:	duration

- Definition

Amount of expenses cap as a part of merger condition.

+ References

No definition available.

+ Details

Name:	angel_BusinessCombinationMergerAgreementAcquirorExpenseCap
Namespace Prefix:	angel_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

Amount of deduct able transaction costs cap as a part of merger condition.

+ References

No definition available.

+ Details

Name:	angel_BusinessCombinationMergerAgreementDeductableTransactionCostsCap
Namespace Prefix:	angel_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

Amount of net intangible assets to be maintained by southport acquisition corporation as a part of merger condition.

+ References

No definition available.

+ Details

Name:	angel_BusinessCombinationMergerConditionNetIntangibleAssets
Namespace Prefix:	angel_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

- 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

Name:	angel_SignificantAccountingPoliciesLineItems
Namespace Prefix:	angel_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

- Definition

Price of a single share of a number of saleable stocks paid or offered to be paid in a business combination.

+ References

No definition available.

+ Details

Name:	us-gaap_BusinessAcquisitionSharePrice
Namespace Prefix:	us-gaap_
Data Type:	dtr-types:perShareItemType
Balance Type:	na
Period Type:	instant

- Definition

Number of securities into which each warrant or right may be converted. For example, but not limited to, each warrant may be converted into two shares.

+ References

No definition available.

+ Details

Name:	us-gaap_ClassOfWarrantOrRightNumberOfSecuritiesCalledByEachWarrantOrRight
Namespace Prefix:	us-gaap_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	instant

- Definition

Face amount or stated value per share of common stock.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Topic 210
-SubTopic 10
-Name Accounting Standards Codification
-Section S99
-Paragraph 1
-Subparagraph (SX 210.5-02(29))
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480566/210-10-S99-1

+ Details

Name:	us-gaap_CommonStockParOrStatedValuePerShare
Namespace Prefix:	us-gaap_
Data Type:	dtr-types:perShareItemType
Balance Type:	na
Period Type:	instant

- Details

Name:	srt_StatementScenarioAxis=angel_LockUpShares33.0PercentMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_StatementClassOfStockAxis=us-gaap_CommonClassAMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_BusinessAcquisitionAxis=angel_SouthportSigmaMergerSubInc.Member
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	srt_StatementScenarioAxis=angel_LockUpShares50.0PercentMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	srt_RangeAxis=srt_MinimumMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

Description of Organization and Summary of Significant Accounting Policies -Organization (Details)			6 Months Ended
	Feb. 14, 2025 USD ($)	Feb. 13, 2025 USD ($)	Jun. 30, 2025 USD ($) D $ / shares shares	Dec. 31, 2024 $ / shares
Description of Organization and Summary of Significant Accounting Policies
Common Stock, par value (in dollars per share) \| $ / shares			$ 0.001	$ 0.001
Net intangible assets \| $			$ 5,000,001
Deductible transaction costs \| $		$ 3,500,000
Lock Up Shares 33.0 Percent
Description of Organization and Summary of Significant Accounting Policies
Percentage of lock up shares			33.00%
Class A Common Stock
Description of Organization and Summary of Significant Accounting Policies
Common Stock, par value (in dollars per share) \| $ / shares			$ 0.001
Southport, Sigma Merger Sub, Inc.
Description of Organization and Summary of Significant Accounting Policies
Common Stock, par value (in dollars per share) \| $ / shares			$ 0.0001
Business Combination, Consideration, Threshold Amount \| $			$ 1,500,000,000
Aggregate gross proceeds of any capital, by company divided \| $ / shares			$ 10
Restriction period			1 year
Merger agreement to increase the amount of expenses \| $	$ 11,415,000	$ 11,000,000
Deductible transaction costs \| $	3,863,342
Southport, Sigma Merger Sub, Inc. \| Lock Up Shares 33.0 Percent
Description of Organization and Summary of Significant Accounting Policies
Last reported sale price common stock \| $ / shares			$ 12.5
Trading days \| D			20
Consecutive trading days \| D			30
After closing period for non commencement of consecutive trading days \| D			30
Southport, Sigma Merger Sub, Inc. \| Lock Up Shares 50.0 Percent
Description of Organization and Summary of Significant Accounting Policies
Percentage of lock up shares			50.00%
Last reported sale price common stock \| $ / shares			$ 15
Trading days \| D			20
Consecutive trading days \| D			30
Southport, Sigma Merger Sub, Inc. \| Minimum
Description of Organization and Summary of Significant Accounting Policies
Net intangible assets \| $	$ 5,000,001
Southport, Sigma Merger Sub, Inc. \| Class A Common Stock
Description of Organization and Summary of Significant Accounting Policies
Warrant conversion \| shares			0.1