Can you try deleting all the Kinsta Containers and Images inside Docker Desktop, then relaunch DevKinsta afterward?
If the issue persists and you are willing to lose all existing local sites on the app, you can delete the Volumes in Docker Desktop and remove these two folders below and relaunch DevKinsta after. Doing this ideally should start the app as a fresh install.
/User/Library/Application Support/DevKinsta (application config)
/User/DevKinsta (site files)
If the issue continues after this point, please check if any DevKinsta containers are failing to run after you launch the application. Additionally, please send me the raw main.log file of the app via direct message so we can take a closer look at what is causing the app to get stuck during initialization.
Cheers!