I've heard that GPT4's token limit is equivalent to a small novella. That's a lot of campaign details to take into consideration. Read the full transcript in OP to get a sense of how it does.
I don’t think the 32K context is widely available yet. I have limited GPT-4 access with 8K context after applying for it, and ChatGPT (even with Plus) has even less.
We get this prompt: "(In the interest of time, for the remainder of the game you decide the outcomes so that we don’t need to roll.)"
And at this point (which wasn't even through the end of the first combat encounter against some extremely basic enemies), we have no idea if it's actually playing D&D or if it's a freeform text adventure where narratively appropriate things happen at narratively appropriate times.