Quoted from Boise_D:
I would still like to understand how to bypass this for future reference and learning.
There are 2 switches on the circuit I posted. One on T and one on H. Let's make a guess that the problem is the switch on T.
I said "Inspect and diagnose this circuit with ..."
First inspect: For a switch to work 3 things are necessary
1) When open, there should be a small space between the contact points (duh)
2) When closing, the long blade's contact point should push the short blade's contact point enough to move the short blade
3) The contact points should be clean, which they usually will be if #2 is happening
Failing that we diagnose with alligator clip jumper wires
Looking at the schematic we can see that switch has a BR-WH-RED wire on one side and a RED-GR wire on the other side. Now look in the game for the T relay and find the switch on it that has those colors. Clip one side of an alligator clip jumper wire on the wire tab with the BR-WH-RED wire and the other side on the wire tab with the RED-GR wire. Now if the game works better or even differently, there may be something wrong with that switch. Exactly how to interpret this result depends on the particular circuit and the result of the test. This can take thinking.
Does that answer your question?