Utilizing the log, I used to be in a position to see that the backup was failing with the mac hd quantity.
Didn't create quantity information from disk ' '/System/Volumes/Information/residence'', error: missingName
2025-04-25 20:09:39
Failed to arrange highlight indexing for '/Volumes/Macintosh HD' (elapsed time: 30.25 seconds)
2025-04-25 20:09:39 File coordination timed out after 30 seconds whereas making ready for studying '/System/Volumes/Information'
2025-04-25 20:09:39
Failed to arrange highlight indexing for '/System/Volumes/Information' (elapsed time: 30.34 seconds)
2025-04-25 20:09:39
Didn't create APFS snapshot with title 'com.apple.TimeMachine.2025-04-25-200939.native' on quantity '/Volumes/Macintosh HD', error: Error Area=NSPOSIXErrorDomain Code=1 "Operation not permitted" UserInfo={NSFilePath=/Volumes/Macintosh HD, NSLocalizedDescription=/Volumes/Macintosh HD: Operation not permitted (error 1)}
Taking at take a look at these volumes I seen the HD (no icons) quantity was additionally utilizing an older model of the OS.
HD (no icons) System : macOS 14.4.1 (23E224)
HD – Information (has finder image) System : macOS 15.4.1 (24E263)
HD – Information – Datos (has residence icon) System : macOS 15.4.1 (24E263)
So I added the HD (no icons) to the amount exclusion record and time machine backups appear to be operating as anticipated.