If Time Machine fails to back up your MacBook Air and reports an error involving DuetExpertCenter/ATXAppPredictionMicroLocation, the problem may be related to data managed by macOS for app prediction or personalization.
However, without the full error message and file path, it Is not possible to confirm the cause or say whether this is a known issue with macOS 27.0.1.
Here are a few things you can try to get your backups working again.
Restart your Mac and try the backup again.
Reconnect your Time Machine backup drive, restart your MacBook Air, and run the backup again. Sometimes a restart is enough to clear a temporary problem.
Check for macOS updates.
Go to System Settings >> General >> Software Update and install any available compatible updates. If the problem is caused by a macOS bug, a later update may fix it. There is currently not enough information to confirm that this is a known issue with version 27.0.1.
Check your backup disk and available storage.
Make sure your Mac has enough free space and that your backup drive has sufficient capacity.
If you are using an external drive, you can also open Disk Utility and run First Aid on the relevant disk or volume.
Check the full path shown in the error.
This is an important step because DuetExpertCenter data is not necessarily located on the sealed, read-only System volume.
Modern macOS separates the protected System volume from the writable Data volume, which holds user files and other changeable data. For example, if the path starts with ~/Library/DuetExpertCenter/, the item is in your user Library on the Data volume.
Do not manually delete these files or change their permissions. Even if they are on the Data volume, they may still be managed by macOS and needed by a system service.
Avoid excluding the item until you have identified it.
Time Machine lets you exclude selected files and folders under System Settings >> General >> Time Machine >> Options. However, excluding this item is not a confirmed fix, and it means the excluded data would not be included in future backups. It is best to establish the full path and understand what is being excluded first.
Contact Apple Support if the backup still fails.
If the problem persists, provide Apple Support with the exact error message, the full file path, and any relevant Time Machine details. They can help determine whether the issue is related to macOS or the backup process.
Product Feedback - and make it known to Apple regarding this ongoing issue
You can also consult Apple's guide: If you can't back up or restore your Mac using Time Machine.
What to do next
If the backup continues to fail, share the complete error message and full path for DuetExpertCenter/ATXAppPredictionMicroLocation.
That information will help narrow down the cause and identify the safest way to get Time Machine working again without unnecessarily modifying macOS files.