Try it without "reasoning". As you can see in my example (and GP), it meanders to correctness eventually after emphatically being wrong, and most reasoning mode

Try it without "reasoning". As you can see in my example (and GP), it meanders to correctness eventually after emphatically being wrong, and most reasoning modes hide that from you. If LLMs worked the way people want to believe they do, there’d be no reason to start in the wrong place — a computer should have the facts!