Unable to sign in because of a problem communicating with iCloud

Is this your problem? I cannot guarantee a solution, but see:

Verification failed : There was an error connecting to apple id server https://discussions.apple.com/thread/7238348

How To Fix Verification Failed Error Prompt After Update To iOS 13

Verification Failed. There was an error in connecting to your Apple ID

6 Fast Solutions to Fix Error Connecting to Apple ID Server[NEW] https://www.fonedog.com/ios-data-recovery/an-error-connecting-to-the-apple-id-server.html

 Verification Failed: There Was an Error Connecting to the Apple ID Server, Fix

https://macreports.com/verification-failed-there-was-an-error-connecting-to-the-apple-id-server-fix/

Do you have access to another WiFi network where you can try? That has worked for several people.

Try a restart.

Restart your iPhone, iPad, or iPod touch         

Try a forced restart.

Reset Device.      

If necessary

Hard reset.        

Do a backup and try a factory reset. Then restore from your backup.

Restore to Factory setting.      

Backup - Restore your device from an iCloud or iTunes backup.