Yes, if you have a Time Machine backup from before the update to macOS Monterey 12.6.6, it is possible to copy back your Logic Pro Sound Libraries. Here's how you can do it:
1. Connect your Time Machine backup disk to your Mac.
2. Open a Finder window by clicking on the desktop or the Finder icon in the Dock.
3. Navigate to the location where your Logic Pro Sound Libraries were originally stored. By default, the sound libraries are located in the following path:
Macintosh HD/Library/Application Support/Logic/
4. With the Finder window open, click on the Time Machine icon in the menu bar at the top-right corner of the screen (it looks like a clock with an arrow going counterclockwise).
5. Time Machine will open and show a visual timeline on the right side of the screen. You can use it to browse through the backups. Alternatively, you can use the arrows or the timeline on the right side of the Time Machine window to navigate to the desired backup date.
6. Once you've reached the backup date that contains the Logic Pro Sound Libraries you want to restore, locate the Logic folder within the Time Machine window.
7. Select the Logic folder and click on the "Restore" button in the Time Machine interface. This will begin the process of copying the Logic Pro Sound Libraries from the backup to their original location on your Mac.
8. Time Machine will prompt you to confirm the restore operation. Click on "Replace" to overwrite the existing Logic Pro Sound Libraries on your Mac with the ones from the backup.
9. Wait for the restore process to complete. It may take some time depending on the size of the sound libraries and the speed of your backup disk.
10. Once the restore process finishes, you should find your Logic Pro Sound Libraries restored to their original location.
After completing these steps, you should have successfully copied back your Logic Pro Sound Libraries from the Time Machine backup to your Mac, allowing you to access them again in Logic Pro on macOS Monterey 12.6.6.