Wiper Motor Wires

IF the wiring diagram for Barracuda's is correct, one of the brown wires at the connector should be heavier gage.
We can be pretty sure the wires into the motor housing are power.
And the wires to the gear housing cover relate to a contact on the gear or cam inside. The purpose of the contact is for the wipers to complete the cycle and shutoff in the down position. The details of how that works on the variable speed motor I don't know.