Check out Kagi, if you’re willing to pay for search. It’s really good, and I’ve actually found their new AI features useful, and they’re not ramming them down my throat.

When it gives an AI answer it has references to the source material so I can go read it. It also only gives an AI answer if I ask a question and use a question mark. If I don’t I need to click to request an AI response. They also have an AI thing to summarize a page or ask questions about a page. This is also not automatic, the button for it isn’t even visible unless hovering over the link. I find it to be a nice balance. There if I need/want it, but gone when I don’t.