Headlights turns off after they have been on for a few minutes. How to fix it?

More than likely, you have high resistance in the circuit somewhere. Either you have a faulty ground, the wiring is corroded, or the socket has corrosion on it.

What I would do is check the resistance on the wiring and then inspect the socket. Lastly, you will need to check the resistance to the ground.

Here are a couple of guides that will help with this:

https://www.2carpros.com/articles/how-to-use-a-voltmeter

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

https://youtu.be/PxA5wczsCVo

The wiring is getting hot because of the high resistance so I am sure this is the issue we just need to find where it is.

I am attaching the wiring diagram as well so let's run through this info and let me know what questions you have on this.

Thanks