I have the same issue showing up Jan 31st as well due to a sync issue:
Note that I was signed in with my full level visible at the time of the error, but now I am stuck at Level 1 and as a Guest as others have stated, with no ability to log in. Clicking on the LEVEL 1 Guest icon briefly brings up the Xbox splash screen and the game reloads, but otherwise doesn't change anything. In addition, repairing, resetting and uninstalling/reinstalling the app make no difference.
Interestingly, the app still shows that there are no ads, which means it's a paid subscription! This is happening with the current version of the app, which is 2.9.1221.0
After lots of testing, I found that I was able to sign in on my laptop and even though I got the same sync error message there, I was able to proceed and finish the Jan 31 games and complete the month on that device.
I then tried backing up the temp data from the laptop and overwriting the bad data on my desktop (stored in the C:\Users{user name}\AppData\Local\Packages\Microsoft.MicrosoftSudoku_8wekyb3d8bbwe folder), but that hasn't resolved the issue either, even though that has always solved snyc issues for me in the past.
This is something brand new, and it's limited to a single machine. The only good news is that it's my account and the actual cloud data seem to be OK, and if you can log in on another device you might be able to keep playing while retaining all previous progress.