Brake light out with position of turn signal cam?

65 Barracuda

Turns out that if I jiggle my turn signal stick it will make my brake light go out on one side, respectively. If it's not EXACTLY center than the right side brake light will be out. That's no bueno.

For any electric experts out there --- do you think it's the turn signal cam switch or some other gremlin? I will probably pull the steering wheel and replace it anyway, but just wanted to see if you guys think this will be the fix or not or what else I can do to pin it down....