Gain (Loss) On Issuance Of Warrants

No definition available.

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

- Definition

Warrant Exercised, Fair Value

+ References

No definition available.

+ Details

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

- Definition

Exercise price per share or per unit of warrants or rights outstanding.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 235
-SubTopic 10
-Name Accounting Standards Codification
-Section S50
-Paragraph 1
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480738/235-10-S50-1

Reference 2: http://www.xbrl.org/2003/role/disclosureRef
-Topic 235
-SubTopic 10
-Name Accounting Standards Codification
-Section S99
-Paragraph 1
-Subparagraph (SX 210.4-08(h)(4))
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480678/235-10-S99-1

Reference 3: http://www.xbrl.org/2003/role/disclosureRef
-Topic 505
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 3
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147481112/505-10-50-3

+ Details

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Namespace Prefix:	us-gaap_
Data Type:	dtr-types:perShareItemType
Balance Type:	na
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:	us-gaap_ClassOfWarrantOrRightLineItems
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

- Definition

Number of securities into which the class of warrant or right may be converted. For example, but not limited to, 500,000 warrants may be converted into 1,000,000 shares.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 505
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 3
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147481112/505-10-50-3

+ Details

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

- Definition

Amount of expense (income) related to adjustment to fair value of warrant liability.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Name Accounting Standards Codification
-Section 45
-Paragraph 28
-Subparagraph (b)
-SubTopic 10
-Topic 230
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482740/230-10-45-28

+ Details

Name:	us-gaap_FairValueAdjustmentOfWarrants
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

Per share amount received by subsidiary or equity investee for each share of common stock issued or sold in the stock transaction.

+ References

No definition available.

+ Details

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

- Definition

Value of outstanding derivative securities that permit the holder the right to purchase securities (usually equity) from the issuer at a specified price.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 820
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 2
-Subparagraph (bbb)(2)(i)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482106/820-10-50-2

Reference 2: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 820
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 2
-Subparagraph (bbb)(2)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482106/820-10-50-2

Reference 3: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 820
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 2
-Subparagraph (bbb)(1)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482106/820-10-50-2

+ Details

Name:	us-gaap_WarrantsAndRightsOutstanding
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Period between issuance and expiration of outstanding warrant and right embodying unconditional obligation requiring redemption by transferring asset at specified or determinable date or upon event certain to occur, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days.

+ References

+ Details

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	instant

- Details

Name:	us-gaap_ClassOfWarrantOrRightAxis=angn_March2024PreFundedWarrantsMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_SubsidiarySaleOfStockAxis=angn_MarchSubscriptionAgreementMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_ClassOfWarrantOrRightAxis=angn_PreFundedWarrantMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_StatementEquityComponentsAxis=us-gaap_CommonStockMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_SubsidiarySaleOfStockAxis=angn_JulyPublicOfferingMember
Namespace Prefix:
Data Type:	na
Balance Type:
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- Details

Name:	us-gaap_ClassOfWarrantOrRightAxis=angn_JulyCommonWarrantsMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_ClassOfWarrantOrRightAxis=angn_January2025CommonWarrantsMember
Namespace Prefix:
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Balance Type:
Period Type:

- Details

Name:	us-gaap_ClassOfWarrantOrRightAxis=angn_June2025WarrantsMember
Namespace Prefix:
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Balance Type:
Period Type:

- Details

Name:	us-gaap_ClassOfWarrantOrRightAxis=angn_JulyPreFundedWarrantsAndJulyCommonWarrantsMember
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Warrants - Narrative (Details) - USD ($) $ / shares in Units, $ in Thousands	1 Months Ended		3 Months Ended			9 Months Ended
	Jul. 31, 2024	Mar. 31, 2024	Sep. 30, 2025	Sep. 30, 2024	Mar. 31, 2024	Sep. 30, 2025	Sep. 30, 2024	Jun. 30, 2025	Jan. 31, 2025	Dec. 31, 2024
Class of Warrant or Right [Line Items]
Exercise price of equity-classified broker warrants (in dollars per share)			$ 4.69			$ 4.69				$ 3.85
Fair value of common warrants at issuance date						$ 0	$ 6,509
Loss on issuance of warrants			$ 0	$ 2,924		0	3,502
Loss on fair value of warrants			(1,811)	$ (5,617)		(3,177)	$ (3,279)
Equity-classified broker warrants, number of shares of common stock to purchase (in shares)									1,261,830
March 2024 Pre-Funded Warrants \| March Subscription Agreement
Class of Warrant or Right [Line Items]
Fair value of common warrants at issuance date		$ 6,600
July 2024 Pre-Funded Warrants \| Common Stock
Class of Warrant or Right [Line Items]
Exercise price of equity-classified broker warrants (in dollars per share)									$ 7.80
Share price (in dollars per share)									$ 7.925
Equity-classified broker warrants, number of shares of common stock to purchase (in shares)								3,500,573
July 2024 Pre-Funded Warrants \| March Subscription Agreement
Class of Warrant or Right [Line Items]
Exercise price of equity-classified broker warrants (in dollars per share)		$ 0.01		$ 0.01	$ 0.01		$ 0.01
Loss on issuance of warrants					$ 600		$ 600
July 2024 Pre-Funded Warrants \| July Public Offering
Class of Warrant or Right [Line Items]
Exercise price of equity-classified broker warrants (in dollars per share)	$ 0.01
Fair value of common warrants at issuance date	$ 6,800
Warrants, contractual term (in years)									5 years
July 2024 Common Warrants \| July Public Offering
Class of Warrant or Right [Line Items]
Exercise price of equity-classified broker warrants (in dollars per share)	$ 5.00
Fair value of common warrants at issuance date	$ 6,500
Loss on fair value of warrants			1,800			$ 3,200
Warrants, contractual term (in years)	5 years
Equity-classified broker warrants, number of shares of common stock to purchase (in shares)	2,300,000
January 2025 Common Warrants
Class of Warrant or Right [Line Items]
Warrants and rights outstanding									$ 9,700
June 2025 Warrants
Class of Warrant or Right [Line Items]
Warrants and rights outstanding								$ 600
July Pre-Funded Warrants and July Common Warrants \| July Public Offering
Class of Warrant or Right [Line Items]
Loss on issuance of warrants			$ 2,900