[hypoxia]

Attached is a 2010 Newell Schematic.  It may be somewhat different than yours but I would think the opening & closing has not changed much.  At least it will give you an idea of the wiring required to actuate the air valve.  If yours has the 711 Impulse Relay and the 755 Latching Relay it should be nearly the same.

BTW, I was able to acquire a couple of spare 755 relays but the 711 seems non-existent in 12 VDC.