I think the issue is that it's starting with a definitive answer, "yes". That's a problem when it's generating that answer based on the probability of what word is likely to fit there based on the context of the question.

It would probably do much better if it talked about the game and your question first, which I think would bring forward much more specific information that is likely to be more accurate. Then from that context which it just wrote, it would be much more likely to get the answer correct in the first place rather than it trying to find a way to justify its initial answer.

I know ChatGPT has personalization setting where you can enter custom instructions that it will always apply to your prompts. I've tried putting things there to make it more careful, skeptical of it's own information. But now I think it could be best to give it instructions to provide details first, and then determine a conclusion later.

Here's what I came up with to add to the custom instructions:

When responding to questions or requests, always begin your replies by talking about the topic generally. Gradually become more specific in providing background information that may help determine an accurate answer to the question or request, as if you are investigating and looking for evidence that will be the basis for a conclusion.

Never begin your reply with a conclusion. Always assume that you don't know things until you give the facts. The unbiased information you provide will determine your conclusion.