BP claims, doc will go on a random person (not the BP)

if town mislynches day 1, the mafia can't kill, because if they do, mastermind wins.

To win, mafia must make sure that mastermind dies first, while still keeping an eye on the villagers.

You do realies that mastermind is juts an extra mafian, so that if town mislynches, mafia win.

Actually, mastermind wins, not mafia
(I created the setup for that reason)
for instance, when there are 4 villagers and the 3 mafias left, the 2 non-masterminds should NK else the mastermind wins.