Just to confirm, when you say left, are you referring to the driver's side?
Okay, power to the left front headlamp comes from the body control module. See pic 1. Now it is fed through a blue wire with a white tracer. Is that the one you are checking at the light socket? Where are you getting ground?
If you are certain that wire has no power at the socket, I need you to back track to the A pillar of the vehicle in the wiring harness and locate the blue wire with the white tracer again. (See pic 2) There is a splice there that sends a power to the outside mirror signal. Check for power there. If there is, check the splice to make sure a good connection is made. If there is no power, then you need to check right at the body control module.
Now, this vehicle is barely out of warranty. Have you tried contacting a dealership to see if they can take care of it even though it is out by a few miles?
Let me know what you find or if you have other questions.
Images (Click to enlarge)
Monday, June 29th, 2020 AT 10:10 PM