Duo-Therm compressor does not turn off
I think you checked voltage across the run capacitor, the brown and white wires. The voltage to the motor would be on the black and white wires And inside the motor, a thermal protection device opens the black wire, leaving no potential voltage to the other voltage line nor capacitor line ( brown and white are the same line).
The solution, varify that the motor is wired correctly, then that the capacitor value is correct, not weakened, that the motor vent holes are not blocked or obstructed, that the motor amps are not exceeded, that the motor bearings have no side play and not worn.
Before replacing the motor, make sure the wiring is correct, the motor and capacitor are not good.