I suspect either the switch is bad or the power window relay. I attached a pic below. It shows the relay and a portion of the wiring schematic. To confirm there isn't a short to power after the relay, I want you to disconnect it and see if the glass still goes down when you start the vehicle.
Pic 2 shows the general location of the relay.
Try this and let me know what you find.
Images (Click to enlarge)
Monday, November 30th, 2020 AT 7:59 PM