If you're using DuckDuckGo, note that AI Assist is on by default but you can turn it off on the desktop:
https://infosec.exchange/@Lockdownyourlife/112598426376874984
Also note that DDG doesn't seem to preserve your settings for very long. I just had to turn off things I already turned off fairly recently.
And it seems someone created DDG Lite:
https://hostux.social/@boudah/112598831262943386