Hello again. After updating my OS to current latest version which is macOS Ventura (13.1) my game have become fullscreen again.
But on the Apple Arcade version on Football Manager 2023 Touch, it is still unplayable for me because of this fullscreen issue.
You can compare the two pictures and look at the difference at the top and the sides. When the game shrinks below the notch it really kills the beautiful display. I found a temporary solution for Football Manager 2023 Touch version which is the built-in zoom function of the OS. When I start the game in windowed mode and arrange the window of the game to the edge of the screen and fullscreen zoom into it. But the problem is when you move mouse pointer to the edges zoomed area is moving. If anyone knows "How to screen not move when mouse pointer reaches edge of the screen while zoomed in?" then we can play this game finally. This fullscreen issue is really annoying.
As you see the below picture if I place the game window like that and zoom in I get the fullscreen as I desired.
The final result will be like that.