That's LLM bull. The model already knows hangman; it's in the training data. It can introduce variations on the data, especially in response to your stimuli, but it doesn't reinvent that way. If you want to see how it can go astray ask it about stuff you know very well, and watch how it's responses devolve. Better yet, gaslight it. It's very easy to convince LLMs that they're wrong because they're usually trained for yes-manning and non confrontation.

Now don't get me wrong, LLMs are wicked neat, but they don't come up with new ideas, but they can be pushed towards new concepts, even when they don't grasp them. They're really good at sounding sure of themselves, and can easily get people to "learn" new "facts" from them, even when completely wrong. Always look up their sources, (which Bard (Google's) can natively get for you in its UI) but enjoy their new ideas for the sake of inspiration. They're neat toys, which can be used to provide natural language interfaces to expert systems. They aren't expert systems.

But also, and more importantly, that's not zero-shot learning. Neat little anecdote from a conversation with them though. Which model are you using?