Brake and tail share the same circuit. If the turn signals work the problem is up front. Turn signal circuit interrupts the brake circuit. That way the turn signals work with the brake pedal depressed, like at a traffic light. In other words power goes through the brake switch then to the turn signal circuit. Way to check, see if power is on both sides of the brake light switch with pedal depressed. If so, then follow it that power up the column to the turn signal switch. I would suspect the switch under steering wheel has an issue or the wire plug to the turn switch is fried. Those turn switches get loose or worn at the rivet hinge point opening the circuit.