I've cast my vote above, broken recirc door. I can move the door freely with no resistance. I can hear the actuator turning (buzzing according to the poll).
Here is a video of it in "inaction".
Luckily, I've got 6k and 11 months left on my warranty. I'm going to take it into a dealership and have them just fix it proper. I don't want to damage it further by attempting to fix it with my dumb hands and dumb head.
EDIT:
I pulled out the air filter and looked again. It appeared I could just pop the hood onto the linkage. I did that, and the real reason the hood was broken was made clear. The "fitment hole" on the hood is
broken. I saw broken plastic. What's crazy to me is the fact that there is a DENSO air filter in there. That means that someone at a
dealership did this. I wonder if that's the reason the truck was traded in? It got foggy in the winter and they'd had enough? Who knows.