Warning: I had problem installing the 2022.1 update. It got stuck at 33%. I had to uninstall and reinstall the whole Revit LT installation. I don't know how widespread this problem is. If you have this problem, let people know in this Revit thread: forums.autodesk.com/t5/revit-architecture-forum/can-t-update-to-revit-lt-2022-1-error-1328/td-p/10646476
So it seems if you have the above described problem the only way out is to uninstall and reinstall Revit LT as per this post: knowledge.autodesk.com/support/revit-lt/troubleshooting/caas/sfdcarticles/sfdcarticles/Error-1328-Error-applying-patch-to-file-C-Config-Msi-while-installing-a-Revit-LT-2022-1-update.html