That certainly ticks a lot of boxes - this body style was clearly used on a variety of chassis.
But the door handles are different, and the puzzle car has a swage line along the panel covering the chassis side member, scuttle mounted sidelamps, and no opening vent in front of the windscreen, details which fit with a Hupmobile Eight of about 1925.
Also the Packard has 28 louvres on the side of the bonnet, while the puzzle car and Hupmobile Eight only have 27...
I know, I should get out more.