@gents
What we have observed over the past 15 years when it comes to searches and queries is that one's interaction on the internet is recorded. There have been a plethora of unscrupulous folks who have unwittingly asked their computers questions that lead to their arrest and conviction.
Ask A.I. how long your queries are saved and this is the response I got:
When you ask a question to an AI, the interaction may be recorded and stored for varying durations, depending on the specific AI system and its data retention policies
Basically, I take this as "we will do whatever we like with your data". It is why I left social media (Disclaimer: I am still on this site ;) as everything you say on those sites is there forever. For those that have been in the business of technology, you know that everything on the internet is recorded and there is no law that makes that illegal.
So go ahead, query A.I. to find the right poison (eye drops?) or just ask A.I. to create your manifesto to end the world.
I could take it a step further - minority report anyone? - and figure that A.I. just may be the perfect place to find unsavory folks who are leaning into darkness. Queries can be misconstrued, but if there are a number of troubling queries made by someone who is known to be either a felon, demented, or on medication, you may have to explain yourself to the authorities.
Make sure your documents are in order.