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The rear lights are 2 wire.
I have a dedicated turn wire to each light that is new.
A wire that is running lights.
And the break light wire
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You lost me, please re-explain?
You should have this:
A ground at each rear lamp
A socket with an 1134/ 1157 bulb
A tail lamp wire branched off to one socket wire of both lamps
a left turn wire going to the left lamp
a right turn wire going to the right lamp
Brake lamps should be provided by the left and right turn wires, which are configured to stop both/left/ right inside the TS switch, depending on which direction, or neutral, of the switch position.