Noise from electrical interference is a very common issue with headphone (or aux out) audio jacks on any kind of laptop or PC.
One possible solution for this general type of issue would be to buy some kind of compact external DAC or DAC/AMP. It will show up in your OS as a sound device (and thus could also be called an “external sound card”). The really cheap ones are often just called “USB audio adapters”, or something like that. There are many, many different options out there to choose from, including some extremely compact and extremely cheap ones, all the way up to some insanely expensive ones, and the different options they have can vary a lot.
Even a very cheap one might eliminate a problem like this, and any half-decent one will very likely eliminate this issue, and might also give you some additional features which are helpful to you. What kind you should get also depends upon what kind of headphones you’re running. They come in many shapes and sizes, under many different brand names. Audiophiles really like these kinds of things, but trying to figure out which one is best for you can potentially become very time consuming what with all of the different options out there.
Depending on your needs, these types of things can be very useful even if there is nothing wrong with your onboard audio or headphone jack.
This is a really cheap one: https://www.amazon.com/DuKabel-ProSeries-Mic-Supported-Headphone-External/dp/B07RS11M1T/ref=sr_1_1?crid=3HS1KIPRP3VBY&keywords=usb%2Baudio%2Bjack&qid=1644429643&sprefix=usb%2Baudio%2Bjack%2Caps%2C113&sr=8-1&th=1