Wiring turn signal brake lights

Sounds like a break in that wire or a ground issue, unless that tail light is working, which would indicate the socket is grounded..
Hazard switch always has power, flip that on and see what happens at every lamp.
When there is a ground issue at a lamp socket the current will find another path - often throughthe instrument panel indicators.

This pamphlet explains how the turn signal and stop lamp, and hazard circuits work.
1967 Chrysler Imperial Electrical Accessory Circuit From the Master Technicians Service Conference Session 236

my explanation of the explanation
67 Barracuda Turn Signal Dielemma