As a diagnostic, perform a Factory Restore - but do not restore your data from your backup. The objective of the test is to restore the iPad to its most basic state.
If the iPad remains stable, the issue lies within the backed-up iPad settings.
If the iPad remains unstable after a Factory Restore, without restoring your backup, you would be best advised to seek assistance from Apple Support. You can contact the Support Team using the Get Support link at top-right of this page. Alternatively, if you have access to another device, you can initiate and manage your support cases using the excellent Apple Support App. If not already installed, the App can be downloaded from the App Store:
https://apps.apple.com/gb/app/apple-support/id1130498044
You might also visit the Genius Bar at your local Apple Store or Apple Authorised Service Provider (AASP) - where the technicians will be able to test and assess your iPad:
Genius Bar Reservation and Apple Support Options - Apple