It seems there are ways to stop crawlers. Do a web search for “stop ai crawlers” or similar to learn more. I hope it doesn’t escalate into an arms race, but I realise I might be disappointed.

Its both actual search and AI-features (which I’m unable to tell you more about right now as I merely skimmed through the description of the AI-features to verify that the search index will also serve plain, old, actual search).