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Share-Based Payments (Details) - Schedule of Movement of Share-Based Payment Reserves - USD ($) | 6 Months Ended | 12 Months Ended
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Jun. 30, 2024 | Dec. 31, 2023
Schedule of Movement of Share-Based Payment Reserves [Abstract] |  |
Beginning balance | $ 415,573 | $ 1,512,490
Share options exercised during the period (in Dollars per share) | $ (183,112) | $ (919,916)
Reversal of prior provisions | $ (142,967) | $ (536,366)
Share-based payments expense during the year |  | 359,365
Ending balance | $ 89,494 | $ 415,573

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- Definition The amount of reversal of prior provisions. + References No definition available. + Details
Name: | angh_ReversalOfPriorProvisions
Namespace Prefix: | angh_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- References No definition available. + Details
Name: | angh_ScheduleOfMovementOfShareBasedPaymentReservesAbstract
Namespace Prefix: | angh_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

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- Definition The amount of share-based payments expense. + References No definition available. + Details
Name: | angh_SharebasedPaymentsExpense
Namespace Prefix: | angh_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- Definition A component of equity resulting from share-based payments. + References Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef -Name IAS -Number 1 -IssueDate 2024-01-01 -Paragraph 78 -Subparagraph e -URI https://taxonomy.ifrs.org/xifrs-link?type=IAS&num=1&code=ifrs-tx-2024-en-r&anchor=para_78_e&doctype=Standard -URIDate 2024-03-27 + Details
Name: | ifrs-full_ReserveOfSharebasedPayments
Namespace Prefix: | ifrs-full_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

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- Definition The weighted average exercise price of share options granted in a share-based payment arrangement. [Refer: Weighted average [member]] + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Name IFRS -Number 2 -IssueDate 2024-01-01 -Paragraph 45 -Subparagraph b -Clause ii -URI https://taxonomy.ifrs.org/xifrs-link?type=IFRS&num=2&code=ifrs-tx-2024-en-r&anchor=para_45_b_ii&doctype=Standard -URIDate 2024-03-27 + Details
Name: | ifrs-full_WeightedAverageExercisePriceOfShareOptionsGrantedInSharebasedPaymentArrangement2019
Namespace Prefix: | ifrs-full_
Data Type: | dtr-2022:perShareItemType
Balance Type: | na
Period Type: | duration