Pink is the input, purple is the output. Problem is no 12 volts on the pink wire with the key on.
Believe the turn signal fuse is the lower right hand fuse in the block. Might be wrong on that.
Measure both sides of the fuse with your meter. You should have 12 volts on both sides with the key on. If you see 12 volts on both sides of the fuse:
Scratch and "bite" into the fuse clips on each side on the fuse with your probe. Don't touch the metal part of the fuse, only the clips. See if you see 12 volts to ground on each fuse clip. Guessing you won't see it on one side.