Computer is not updating to MacOS 12.6.1

Are you getting an error message and, if so, what is it?

I've had better luck installing from the Safe Mode because I evidently have some 3rd party software that interferes with the installation so try the following:

#1 - boot into Safe Mode according to Start up your Mac in safe mode - Apple Support.

NOTE: Safe Mode boot can take up to 3-5 minutes as it's doing the following; 

• Verifies your startup disk and attempts to repair directory issues, if needed

• Loads only required kernel extensions (prevents 3rd party kernel/extensions from loading)

• Prevents Startup Items and Login Items from opening automatically

• Disables user-installed fonts 

• Deletes font caches, kernel cache, and other system cache files

#2 - go to the System/Software Update preference pane and begin the download.

#3 - run the installer from the Safe Mode.

Make sure you have sufficient space.

Make sure you are running Monterey.

Go to Apple menu -> System Preferences -> Software Update to see if you have updates.

Backup your data, and then make sure your hard drive is less than 85% full.