Just thinking out loud...When did the lighting issue start? Is this on "Bumblebee"? If so, any wiring surgery during facelift?
I assume the front parking lamps are on with headlights on. So, just no taillights with both low and high beams.
Sure appears it is a faulty headlight switch contact 2 for the taillights circuit. Did you recently change a NAPA switch under warranty? The same problem before and after?
One more quick question trying to keep things aligned with the ingrained USAF
KISS Principle I acquired, along with satisfying the symptomatic circuitry curious cat in me. Do you have dash/instrument lights in each of headlight switch positions, the parking light mode (1) then in the headlight mode (2)? ...cab clearance lights remain on with headlights on? Hmmm....