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Thats not possible.
11v3
For the sake of argumnet, say no lynch and siblings die at night.
9 or 8 with wonks no vote vs 3.
Town lynches mafia 8 v 2.
Mafia kills princess and then another townie, then eonk kills a townie.
5v2.
Town lynches mafia. 5v1.
Wonk and baal and mafia all kill one. 2 v1
This precludes the fact that doc can protect a wonk victim and wonk can be blocked by two different people and mafia and wonk could both potentially target the same person.
So no. Town could lynch at every opportunity and win even under the condition that docs dont protect anyone wonk is never blocked wonk has no vote until the very end, actually survives to the very end baal kills a townie