Q:
Launcher not patching completely
That would be an issue for Technical Support. You may get more responses if you post in that subforum. Also, this may be helpful: https://forum-en.gw2archive.eu/forum/support/tech/How-to-Submit-a-Technical-Support-Ticket-2/first#post3957
Good luck. =)
I read of a bug where the download stops at one file remaining. They said to change the language to French. If that’s it, it should restart.
Try changing the language in the top right corner to French or German until the download finishes completely, then put back to default. That’s helped a lot of others.