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Impairment of Right of Use Assets - Additional Information (Details) $ in Thousands | 3 Months Ended | 9 Months Ended | 12 Months Ended
--- | --- | --- | ---
Sep. 30, 2025 USD ($) | Sep. 30, 2024 USD ($) | Sep. 30, 2025 USD ($) Lease | Sep. 30, 2024 USD ($) | Dec. 31, 2024 USD ($)
Asset Impairment Charge [Line Item] |  |  |  |  |
Impairment of ROU asset | $ 0 | $ 0 | $ 0 | $ 22,836 | $ 22,800
Number of leased properties marketed for sublease arrangements | Lease |  |  | 3 |  |
Impairment Of Right Of Use Asset |  |  |  |  |
Asset Impairment Charge [Line Item] |  |  |  |  |
Impairment of ROU asset | $ 22,800 | $ 22,800 |  |  |

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- Definition Asset impairment charge. + References No definition available. + Details
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Namespace Prefix: | lyra_
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Balance Type: | na
Period Type: | duration

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- Definition Impairment of right of use asset. + References No definition available. + Details
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Namespace Prefix: | lyra_
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Balance Type: | debit
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- Definition Number of leased properties marketed for sublease arrangements. + References No definition available. + Details
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Namespace Prefix: | lyra_
Data Type: | xbrli:integerItemType
Balance Type: | na
Period Type: | duration

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- Details
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Namespace Prefix: |
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Balance Type: |
Period Type: |