I’m sorry I have to tell you, but if you understand game theory it would tell you, that killing yourself is a bad move. Since you have 100% knowledge that you are part of your team, shooting someone randomly increases your chances to shoot an opponent and thus is a better move. An even better move is to shoot someone who has been dishonest. However, from what I read here you are not judging this game from a perspective of game theory but rather from morale high-ground.
If one analyses the game understanding game theory, you come to the conclusion that this game is a very good improvement of long existing games like mafia, werewolf and a lot other games, which have the same base set of rules. This game has a far better balance and does not flip to obvious outcomes as fast as the other games of this genre.
After understanding the mechanics of this game, one can realize that the strategy as the bad guys is to confuse and divert the truth as much as possible, but in contrast the best strategy for the good guys is to stick to the truth. It’s not the best strategy to fight the bad guys and spread your own lies about them but rather be truthful and honest as much as possible. This is mostly because you don’t know who the bad guys are, but the bad guys know who is with them. And this insight comes from pure appliance of game theory, but transports to real life. If you think you are part of the good guys and the others are the bad guys who have to be stopped, well then the other side thinks exactly the same. If you just step back and say, well I don’t know who the good and the bad guys are, but I know who is a liar, then you can still come to the conclusion that trump might be part of the bad guys…