Hi Iwan,
There is no such thing as custom results page in WordPress, that’s probably why chatGPT was not able to suggest anything. It is a wordpress limitation, there are so called archive pages, and for search results there is only a single archive and it’s not possible to make a different one (wordpress can’t do that).
It are two possible workarounds, one is to use elementor pro to build a custom page to direct the results to, or to use the built-in results shortcode on a page. Both are viable options, I would probably suggest going with the Elementor solution if it’s absolutely neccessary.