I whipped up a Chrome extension that hides the AI on Google, Bing, etc. [1] It does not gather any user data and is 100% free.
It's laughable that Google says the two cannot be separated, since it was trivially easy to do — even for a third party like me. It would obviously be even easier for Google to accomplish.
1: https://chromewebstore.google.com/detail/beeline-search-avoi...