Advanced search engines will not help you. The AIs are already writing junk into the very web pages that your search engine will read.
I'm thinking of advanced search engines that are only indexing real documents you have written by humans, many places for example that offer SDKs have extensive documentation that today at least, was all written by humans... so a classic search engine that only referenced that catalog for example would still be reliable.
Otherwise I agree with you, and in fact if you think about it Google is in terrible danger here - because they are faster at ingesting and have broader reach they are the MOST affected by AI answers polluting the input stream, as they absorb the nonsense faster than anyone!
In the past month or two, for the first time EVER, I actually had to turn to Bing for answers because google was not finding what I wanted to find - but Bing did!!!
Wish I had thought to mention that as probably only you will ever see this response. But I just had to at least bring it up as an anecdote to support your point.