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Condensed Statements of Cash Flows (Parenthetical) - USD ($) $ in Thousands	Sep. 30, 2023	Sep. 30, 2022
Statement of Cash Flows [Abstract]
Accounts Payable Accrued Expenses And Other Liabilities Related Parties Transaction	$ 0	$ 17

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- Definition

Accounts Payable Accrued Expenses And Other Liabilities Related Party Transactions

+ References

No definition available.

+ Details

Name:	tyra_AccountsPayableAccruedExpensesAndOtherLiabilitiesRelatedPartyTransactions
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