Thank you all! This particular unit has 3 different heat sensors, one being a proof-of-flame. The proof-of-flame is poorly positioned and overly sensitive so I'll probably reconfigure that some how.
I'm reading 5.4 ohms between red and black, and 400 ohms between yellow and black. I can confirm that applying voltage to either red or yellow holds the armature. As of right now, applying voltage to either red or yellow or both does not move the armature without a little assistance. I'm guessing the armature is slightly compressed when it's installed in the valve assembly so that's probably not an issue.
I don't entirely understand the schematic. I understand dig out, R1, R2, C1, and D1. The logic level n_mosfet appears to be similiar to a transistor? I'm not sure where the solenoid is, or what the component with the backwards E is... Maybe the backwards E thing is a representation of one of the coils?
Thank you once again, your help is very much appreciated!!