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Mezzanine Equity and Stockholders' Equity (Deficit) - Company's reserved common stock (Details) - shares
Dec. 31, 2024
Jul. 31, 2024
Jul. 30, 2024
Dec. 31, 2023
Mezzanine Equity and Stockholders' Equity (Deficit)        
Convertible preferred stock, shares outstanding       4,939,946
Stock options issued and outstanding under the 2012 and 2022 Plan     740,409 747,001
Company's common stock issuable upon the exercise of outstanding options Legacy Adagio's equity plans that were assumed in the Business Combination 7,587      
Common stock reserved for future issuance under the 2024 Equity Incentive Plan 20,535,970 1,036,666   5,713,959
Common stock reserved for future issuance 20,535,970 1,036,666   5,713,959
Convertible Securities Notes        
Mezzanine Equity and Stockholders' Equity (Deficit)        
Convertible Securities Notes 3,231,327      
Base Warrants        
Mezzanine Equity and Stockholders' Equity (Deficit)        
Warrants 7,528,727      
PIPE Pre-funded warrants        
Mezzanine Equity and Stockholders' Equity (Deficit)        
Warrants 0      
Convert Warrants        
Mezzanine Equity and Stockholders' Equity (Deficit)        
Warrants 1,500,000      
Stock Incentive Plan 2012 and 2022 Plan        
Mezzanine Equity and Stockholders' Equity (Deficit)        
Stock options issued and outstanding under the 2012 and 2022 Plan       747,001
Common shares available for future grant under the 2012 and 2022 Plan       27,012
2024 Equity incentive plan        
Mezzanine Equity and Stockholders' Equity (Deficit)        
Common stock reserved for future issuance under the 2024 Equity Incentive Plan 4,472,592      
Common stock reserved for future issuance 4,472,592      
2024 Key employee equity incentive plan        
Mezzanine Equity and Stockholders' Equity (Deficit)        
Common stock reserved for future issuance under the 2024 Equity Incentive Plan 3,354,444      
Common stock reserved for future issuance 3,354,444      
2024 Employee Stock Purchase Plan        
Mezzanine Equity and Stockholders' Equity (Deficit)        
Stock options issued and outstanding under the 2012 and 2022 Plan 7,587 0    
Common stock reserved for future issuance under the 2024 Equity Incentive Plan 441,293      
Common stock reserved for future issuance 441,293