I am not a mechanic at all.
I dropped the blower motor out of the housing (3 star bolts #20).
Reached in and retrieved the fallen recirc door.
I used a small drill bit and drilled a hole in the shaft of the recirc door.
I used a dry wall screw (yeah that's right....I dry wall screw!) to reattach the recirc door to the gear.
Worked like a charm.
and I never have to worry about it falling down again because the screw is holding it in place.
Just a little FYI for those who don't want to spend over $100 for the replacement kit.