Headlight turns off after disengaging the park brake

Hi, I'm Dan.

Do you have the HID headlamps or regular headlamps? Also, is it the headlights that don't work or the daytime running lights? DTRL are shut off when you pull the park brake.
Also check to see if all the lights go out, or just the headlights. Also is it both lights? What about the taillights?
I've attached a wiring diagram, be sure to check the fuses and for any loose connections.

https://www.2carpros.com/articles/one-headlight-is-dim-or-dull

Hey, thank you! The drivers side headlight is the one . It’s xenon gas/hid. All lights are working. Park brake engaged DRLs are off. What about relay? Does it control both or single headlight?

Just to jump in on this, sorry for the delay. Yes, since you have HID lamps you have a relay that is part of the control module that is most likely the issue.

Unfortunately I do not show this relay as being serviced separate.

So I am attached the process below on the assembly and the wiring diagram that shows each individual light that has its own control system including relay.

If it were me I would check the voltage coming out of the relay to the lamp on the brown wire and see if there is 12 volts when they are turned on but this lamp is out.

https://www.2carpros.com/articles/how-to-check-wiring

If there is no voltage then that relay is open and most likely is the issue.

Please let us know if you have other questions or how you make out with this.