My Apple ID setting is falling repetitively

If you are using a cellular iPad, did you make sure that "Cellular data" is enabled in the Settings/Cellular?

In case you are using a Wi-Fi connection, make sure that no VPN is enabled and your router is not blocking the contact to Apple servers.

Also check the troubleshooting mentioned in this article:

If you can't activate your iPhone or iPad (Wi-Fi + Cellular) - Apple Support

There are multiple available methods to verify your AppleID during sign-in. You may find this external article will be helpful in resolving difficulties:

https://www.payetteforward.com/apple-id-verification-failed-fix/