Verify the Screen Recording permissions are set to Allow:
Settings > Screen Time > Content & Privacy Restrictions > Content Restrictions > [Game Centre] Screen Recording - set to Allow
If the permission is already set to Allow - and screen recording is not working as expected - reset the permission to Don’t Allow, then close the Settings App and force-restart your iPad:
- On an iPad with a Home button: Press and hold the top button and the Home button at the same time. When the Apple logo appears, release both buttons.
- On other iPad models: Press and quickly release the volume up button, press and quickly release the volume down button, then press and hold the top button. When the Apple logo appears, release the button.

After your iPad restarts, change the Screen Recording permission back to Allow - and retest.