Logged into a character who was already in my house.
Used the transmute station. Tried to log out, doesn't work.
Tried to queue in to Cyrodiil to get out. Nope.
Tried to port to players from friends list. Nope.
Tried to port to players from guild list. Nope.
Tried to use the house exit. Nope.
Relogged. Nope.
Confirmed that I have no addons or libraries loaded.
Exited the game completely, logged into another toon, logged out, logged back into the first (stuck) toon. Still stuck.
Opening the inventory window and mouse-over the weapon swap button, and this shows:

This toon is now stuck in the house.
UPDATE: At least it's not charging for transmutations while stuck.. Too bad I don't have anything I need to transmute.
@ZOS_GinaBruno This is the single strangest bug I've ever seen after a patch. Between the endless load screens, the crashes in the new zone, the broken vampire skill bypassing GCD and letting you chain another skill, the endless messages of reset skill points - even though they're not reset, the continuous procs of some monster helms (per friends who are already in PvP land), it really seems like there wasn't enough QA done this time.
Edited by Crown on May 26, 2020 8:26PM