Issue identified! It’s the seat switch for the power controls. I diagnosed this by figuring that if the motor is clicking when reclining but not bringing it up. It’s probably not gears or the motor. After looking at some schematics, I noticed that the switch was one unit and decided I needed to diagnose that.
I popped off the trim with the switch. Removed the passenger side, the one on the broken seat, then used the switch from the driver side and plugged it in. This worked and the seat was able to move. So looks like I’m going to order a new switch or try to find one at a junk yard.