Start the game.
Run the table for Cheat Engine. Put a tick at activateitfirst (edit player option).
Go back to the game and start a new career for the player. Go to your player editor menu (which changes the appearance, etc.).
Minimize the game window and reopen the minimized Cheat Engine. Specify the settings/skills that we need. Return to the game.
Exit the player editor menu. Save the game. Everything works.