Not sure why you're asking grey, I'm the math guy here lol
Hypothesis: Club is town (50%)
Evidence: Mharman is town (100%)
P(H|E)=P(E|H)/P(E) * P(H)
So we just need to know what P(E|H) is, or what the probability Mharman being town is given that club is town. I'm going off of Wylted's outline here. If Club is town, he likely isn't lying about poison doctor, but Mharman could protect him as either scum or town, so that doesn't tell us much. However, if he was scum, I don't think that he would be arguing with literally everyone over Club. That, in my mind, would be about 75% assurance that he's town in that case.
P(E|H) = 75%
P(H|E)=.75/1 * .5 = 37.5%
So there is about a 37.5% chance of Club being town if Mharman is proved to be town
If you disagree with my evaluation of P(E|H), you can figure with it and come up with a different answer