On the desktop, try disabling cloud saving for the game, start the EE and confirm the cloud icons are not shown, exit the game and Steam client, reboot, restart Steam, log in, enable cloud saving again for the game and try starting it.
Try browsing to the '..\Documents\Larian Studios' folder and renaming the 'Divinity Original Sin Enhanced Edition' subfolder. That should get Steam to re-download the online version of the profile and all your saves. There is a copy of the profile and saves in the Steam install folder, as well, which may need to delete/move.
