I have this problem after upgrade to macOS Ventura. If you cannot completed your Time Machine Backup, see following for something to try.
1. Check disk.
Run Disk Util -> First-Aid for your external backup disk.
2. Check TM log to see more error detail.
Type below code into your terminal app.
printf '\e[3J' && log show --predicate 'subsystem == "com.apple.TimeMachine"' --info --last 6h | grep -F 'eMac' | grep -Fv 'etat' | awk -F']' '{print substr($0,1,19), $NF}'
For my machine, it show that TM is looking for some path that have 2.81 PB in size! I just ignore that folder in my TM process. See the next topic for how to do this.

3. Put files/folders exclusion.
The easy way is to do from terminal app.
To add an exclusion.
$ sudo tmutil addexclusion -p ~/xxxxxxxxx/
To remove an exclusion.
$ sudo tmutil removeexclusion -p ~/xxxxxxxx/
4. Install Xcode!
One of my error is “error: missingURLForRemounting” and I can resolve by install Xcode !!
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