Exactly. The following will work, assuming you're using a model and frontend that supports it:

> Let's play hangman. Just pick a 3 letter word for now, I want to make sure this works. Pick the secret word up front and make sure to write the secret word and game state in a file that you'll have access to for the rest of the session, since you won't remember what word you chose otherwise.

This was Opus 4.6 in Claude desktop, fwiw.

Note: I didn't bother experimenting with whether it worked without me explicitly telling it that it should record the game state to a file.