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Option Agreements (Details) - USD ($)
$ in Millions
1 Months Ended 3 Months Ended 8 Months Ended
Dec. 31, 2025
Dec. 31, 2024
Dec. 31, 2023
Mar. 31, 2024
Sep. 30, 2024
Sep. 30, 2024
Paragon Option Agreements [Line Items]            
Initiation fee           $ 0.8
Development costs, percentage           50.00%
Research and development expenses         $ 3.8 $ 6.6
Development costs     $ 3.3      
Research initiation fee         0.8 0.8
Accounts payable and other current liabilities         3.8 3.8
Expenses         13.4 33.8
Clinical Development Milestones [Member]            
Paragon Option Agreements [Line Items]            
Non-refundable milestone payments       $ 12.0    
Certain Regulatory Milestones [Member]            
Paragon Option Agreements [Line Items]            
Non-refundable milestone payments       $ 10.0    
Related Party [Member]            
Paragon Option Agreements [Line Items]            
Accounts payable and other current liabilities         2.3 2.3
Research and Development Expense [Member] | ORKA-001 [Member]            
Paragon Option Agreements [Line Items]            
Milestone payment         1.5  
Research and Development Expenses [Member]            
Paragon Option Agreements [Line Items]            
Research and development expenses         $ 0.8 $ 13.2
Forecast [Member]            
Paragon Option Agreements [Line Items]            
Percentage of warrant purchase 1.00%          
Forecast [Member] | ORKA-002 [Member]            
Paragon Option Agreements [Line Items]            
Percentage of warrant purchase   1.00%