This is how it’s gonna go best case scenario:
13 players left. - King = 12 players.
D5 = 4 Scum, 8 town, and King.
We lynch a scum optimally.
-1 scum
N5 = 3 Scum, 8 town, King.
They can’t kill or convert.
D6 = 3 Scum, 8 town, King.
-1 scum
N6 = 2 Scum, 8 town, King.
+1 scum.
D7 = 3 scum, 7 town, King.
-1 scum.
N7 = 2 scum, 7 town, King.
They can’t do anything.
D8 = 2 scum, 7 town, King.
-1 Scum.
N8 = 1 scum, 7 town, King.
+1 scum.
D9 = 2 scum, 6 town, King.
-1 scum.
N9 = 1 scum, 6 town, King.
No convert.
D10 = 1 scum, 6 town, King.
-1 Scum.
BD wins!
Oh god… it’s looking like a 10 day game.