Yes, same problem - replace the recirculate door actuator.
They seem to have different failure modes. Ours is on #3... First time, it clicked until you toggled recircuate. Second time, it made no noise but wouldn't move the door at all. #3 is starting to click as well in either position (only clicks once or twice so far,) so I suspect it's going to click non-stop when it finally goes.
It's a garbage part, replace it and call it a day. Or split it apart and flip the gears around. I always replace it with a new one since it's so difficult to change out.
This is the actuator:
https://www.rockauto.com/en/moreinfo.ph ... 57&jsn=398