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Agreement and Plan of Merger - Additional Information (Details)
Nov. 14, 2024
$ / shares
Sep. 30, 2024
$ / shares
Jun. 30, 2024
$ / shares
Mar. 31, 2024
$ / shares
Dec. 31, 2023
$ / shares
Sep. 30, 2023
$ / shares
Jun. 30, 2023
$ / shares
Mar. 31, 2023
$ / shares
Dec. 31, 2020
$ / shares
Dec. 31, 2020
£ / shares
Agreement and Plan of Merger [Line Items]                    
Share capital, par value | (per share)   $ 0.0001 $ 0.0001 $ 0.0001 $ 0.0001 $ 0.0001 $ 0.0001 $ 0.0001 $ 0.0001 £ 0.01
American Depositary Shares | Subsequent Event                    
Agreement and Plan of Merger [Line Items]                    
Percentage of expected ownership in outstanding shares 48.40%                  
Akari Ordinary Shares | Subsequent Event                    
Agreement and Plan of Merger [Line Items]                    
Share capital, par value $ 0.0001                  
Merger agreement exchange ratio per ordinary share 0.2935                  
Peak Common Stock | Subsequent Event                    
Agreement and Plan of Merger [Line Items]                    
Share capital, par value $ 0.0001