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v3.25.2

Summary of Significant Accounting Policies (Additional Information) (Details) $ in Millions | 3 Months Ended
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Mar. 31, 2025 USD ($)
Accounting Policies [Abstract] |
Non-cash lease impairment expense | $ 1.9

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- Definition Non Cash Lease Impairment Expenses + References No definition available. + Details
Name: | kod_NonCashLeaseImpairmentExpenses
Namespace Prefix: | kod_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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