You're still conflating two different claims.
"Does intelligence make someone better at reasoning?" can reasonably be answered "yes, intelligence can improve reasoning ability." I never disputed that. The qualification is that intelligence doesn't guarantee good reasoning, because reasoning also depends on things like biases, epistemic habits, reflection, and willingness to revise beliefs. That's exactly what Gemini's answer was saying.
Your argument keeps jumping from "these are bad reasoning habits" to "therefore anyone who exhibits them is unintelligent," and then from there to "I know you exhibit them because you disagree with me." That's circular. You haven't demonstrated that I have motivated reasoning or that I'm ignoring my biases. You're simply asserting it whenever I disagree with your conclusions.
The "100%" claim is especially revealing. You can't know that I would never reach the same conclusion as you simply because you've decided that I have motivated reasoning. That's not an argument, it's a presupposition about my psychology.
And Type 2 thinking doesn't guarantee a refined or correct answer either. Deliberating longer can improve reasoning, but it can also produce a more elaborate rationalization of a mistaken premise. Self-reflection is useful, but the mere act of reflecting doesn't guarantee that the reflection is accurate. Likewise, imagining an omniscient observer doesn't somehow provide access to that observer's answer. You still have to establish your premises and reasoning.
The "God" example also doesn't demonstrate what you think it does. An atheist can practice humility and self-reflection without pretending there is an omniscient being watching them. Humility comes from recognizing that your own reasoning can be wrong, not from inventing a supernatural observer.
And you're again treating disagreement as evidence of pathology. "You argue with me about things" doesn't establish "you don't want the truth." Sometimes I argue because I think your conclusion is unsupported. That's literally what disagreement is.
Your Bill example demonstrates the problem perfectly. You say Bill is an Epstein Island regular, I disagree (at least with him being more special than the ones you support), and your response is that I have "no clue" and therefore have low intelligence. That's not evidence of motivated reasoning on my part. It's just you declaring that disagreement with your interpretation is itself evidence of low intelligence.
The same applies to your fiction and Sleeping Princess examples. The fact that I criticize something you wrote or question an interpretation doesn't demonstrate a cognitive defect. If your argument is good, explain why it's good. "You keep arguing with me, therefore you're biased" is not a substitute for that.
And the "you don't agree with anyone who said yes, I'm the one you want to argue with" framing is still misleading. You were the person disagreeing with my qualification, and you're now emphasizing that other people said yes so that my continued disagreement looks irrational. That's a way of framing the social situation, not evidence that my reasoning is bad.
The irony is that you're doing exactly what you claim intelligent people should avoid. You've taken a psychological trait you dislike, attributed it to me, and then interpreted everything I do through that assumption. If I disagree, that's motivated reasoning. If I keep questioning, that's argumentativeness. If I use AI, that's validation seeking. If other people agree with me, apparently I'm still the one being unreasonable.
That's not demonstrating that I'm biased. It's constructing a framework where disagreement with you automatically becomes evidence that I'm biased.