If they ask you the same question a thousand times is it your fault if you start giving different answers?

I like this question because it raises a number of issues; you can ask the same question in different ways to check the consistency of answer but a thousand is extreme.
This then begs the question how many times can you ask the same question before it becomes something more than trying to get an answer?
Is asking the same question a way to get you to disbelieve or change your answer?
Are you being coached to give a specific answer?
Are you being given information you didn't previously know in the questions?

Is this too deep or are you looking for a real discussion on this?
(BTW those ideas are off the top of my head I haven't put much thought into this.)

I ask in different ways

I'd purposely give them different answers once I realize what they're doing

Yes.
No.
Maybe.
Purple.
🤷‍♂

Id stop answering and just glare

No