Cruise control does not work with headlights or running lights on

More than likely we have an issue with a taillight bulb or brake light switch.

What I would suggest is we need to go to reach taillight and check voltage on the brake light circuit when the head lights are on. If you have any voltage on the brake light circuit, then this is back feeding, and the vehicle thinks the brake is being depressed.

Here is a guide that will help with this:

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

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

The next likely cause of this is the brake light switch itself.

So, if nothing else, I would replace this and then retest the operation.

Please see the wiring diagram below which will help with this.

Let me know if you have questions and we can go from there.

Thanks