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Statements of Cash Flows (Parenthetical) - USD ($) $ in Thousands | Mar. 31, 2023 | Mar. 31, 2022
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Statement of Cash Flows [Abstract] |  |
Accounts Payable Accrued Expenses And Other Liabilities Related Parties Transaction | $ 0 | $ 22

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- Definition Accounts Payable Accrued Expenses And Other Liabilities Related Party Transactions + References No definition available. + Details
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Namespace Prefix: | tyra_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

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