Most people wont. Even those that do will probably switch to something that does the same (or worse). Alternatives are scarce. Most other search engines are using Google's search results (at least in part) behind the scenes. AI probably wont save you (Gemini sure wont). Advertisers can't wait to infest the chatbots. AI companies are expected to accept money to promote certain products or to refuse to mention a competitor's products.
It's always going to come down to manipulation that prioritizes their profit over your interests. You can't afford to pay more than corporations are willing to spend to degrade the usefulness of your searches. The best you can hope for is to spend a bunch of effort to find some tiny niche alternative to google that almost no one uses and ride it out for as long as you can until enshittification sets in and you're forced to start all over again.