I’ve been similarly impressed by ChatGPT’s ability to both absorb and playback strategic advice on complex games based on a snapshot mid-game scenario (eg Twilight Struggle) and more impressively to strategise in completely novel games that it wouldn’t be able to lookup rules or advice for.
For example I described an invented hidden identity party game and ChatGPT without further guidance inferred the dynamics and proposed great starter strategies depending on whether you were the “hider” or the “catchers” including deceptive approaches to fit in, lure out other players, cast doubt, play it cool etc.
It’s been a little trickier as they’ve nerfed its abilities as public uptake has increased, but the glimpses of underlying inference and intelligence is astounding.