Yes, I agree. Like I said, in the end it did what a human would do: google for the answer. Still, it was interesting to see how the reasoning unfolded. Normally, humans train on these kinds of puzzles until they become pure pattern recognition. That's why you can't become a grandmaster if you only start learning chess as an adult — you need to be a kid and see thousands of these problems early on, until recognizing them becomes second nature. It's something humans are naturally very good at.
I am a human and I figured this puzzle out in under a minute by just trying the small set of possible moves until I got it correct. I am not a serious chess player. I would have expected it to at least try the possible moves? I think this maybe lends credence to the idea that these models aren’t actually reasoning but are doing a great job of mimicking what we think humans do.