You should maintain the Mac properly (maintenance, backups) to keep it reliable, so that it doesn’t end up in a situation where you ever have to reinstall Lightroom Classic 10 or any other now unsupported Creative Cloud apps. I think all you have to do is sign out of your enterprise subscription (any installed Creative Cloud apps stop working at that point), then sign in with your new subscription (so those Creative Cloud apps start working again). I think it would work like this: You won’t be forced to uninstall Lightroom Classic 10 and don’t have to change anything about your configuration.
If you want to keep using it with the new subscription, you should keep that Lightroom Classic 10 on your Mac and not delete it as long as you use this Mac.