Every character goes forward only, permanence is still out of reach apparently.
The game is called "Explorers' Guild", or "xg" for short. It's easier for Claude to act as a player than a director (xg's version of a dungeon master or game master), again mainly because of permance and learning issues, but to the extent that I can help it past those issues it's also fairly good at acting as a director. It does require some pretty specific stuff in the system prompt to, for example, avoid confabulating stuff that doesn't fit the world or the scenario.
But to really build a version of xg on Claude it needs better ways to remember and improve what it has learned about playing the game, and what it has learned about a specific group of players in a specific scenario as it develops over time.