Literally every experience I've had with Gemini / Google Search AI answers followed this exact pattern, often repeated several times more if I remained persistent instead of just giving up.
Typical example:
"Where can I buy <thing I'm looking for that I can't find anywhere using normal search terms>?"
> You're looking for <related but different and widely available thing>. It is sold by <sites I never heard of>.
"No, that's different. I'm looking for <that thing but with the exact differences spelled out again>."
> Ah, my mistake. You're looking for <thing I described>. It is sold by <sites I never heard of but which don't actually sell it>.
"I've checked your links and none of those sites actually sell it, one doesn't even sell products and instead only offers manufacturing - but also not for what I asked you for."
> I'm sorry, my bad. Those sites don't sell what you are looking for. Instead you should check out <more sites I've never heard of>.
"Those sites sell the thing you initially thought I was asking about but not the thing I described."
> I'm sorry for the misunderstanding. You can find the thing you actually described at <yet more sites including some of the same>.
"No. None of these sites sell anything close to what I asked you for and two of them don't actually exist."
> Oh, sorry about that. You're completely right. The thing you asked me about isn't actually being sold by anyone. However you could buy <thing it first thought I meant and that wouldn't bring me any closer to solving my problem>.
(ad nauseam)
The few times I've resigned myself to asking Gemini or ChatGPT something I couldn't find an answer to, my experience has been the same. 100% of the time. An LLM has never, not once, given me a correct answer or not lied to me. It's always been the same experience you describe. It goes in circles "Try X... Try Y... Try X?" Until I tell it to stop telling me X or Y, and then it goes, "LOL you can't do that at all, I was just wasting your time."
Most recently, I was considering moving away from iterm2 on MacOS, and I wanted to know if any other terminal emulator supported gestures for switching between tabs. So I asked Gemini, and it says, "Yes Ghostty supports gestures for switching between tabs."
"Ok I just installed Ghostty and I can't find anything about gestures."
"You need to add foo=bar to your conf file."
"I added foo=bar to my conf file and now it's saying the conf file is invalid."
"Sorry bro, remove foo=bar and add baz=boo to the conf file."
"It says baz=boo is invalid too."
"baz=boo isn't a real option. Remove that and add foo=bar to your conf file."
"You already told me to do that and I already told you that doesn't work."
"You shouldn't put foo=bar or baz=boo in the Ghostty conf file. Both are invalid. Ghostty doesn't support gestures. Have you considered iterm2?"