Headlight keeps going out and then on

More than likely, you have an issue with the connector, and it has corrosion or some other issue that is creating a path to ground and it is blowing the bulb, or it can blow the fuse as well.

If it were me, I would change the bulb again if it is blow and then use this guide to change the connector as well.

https://youtu.be/PxA5wczsCVo

I am attaching the wiring diagram below as well just in case you need to refer to it for wiring layouts.

Please run through this info and let us know what happens.

If the connector is not the issue, then we need to monitor the voltage at the bulb to find out if you are getting an over voltage situation.

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

Please let me know what questions you have. Thanks