I use https://addons.mozilla.org/fr/firefox/addon/alerte-sur-les-sites-genai/ in Firefox to be warned and turn back when I end up on a GenAI news website.
It blocks more than 9000 websites, which is too much to add to the kagi block list.
It would be nice to have this blocklist enabled at kagi's level too to avoid seeing results from those websites.
First option : no user interaction needed. Kagi just uses that list for its StopSlop feature.
Second option : in https://kagi.com/settings/ai have an additional toggle to enable blocking the websites from this list.