You can now play backgammon with any AI client that supports MCP App (which includes Claude Desktop, VSCode, ChatGPT these days). Actually you can do more than that -- you can play against a friend and have they AI comment; you can watch the AI play itself (boring); you can play against the LLM and have it teach you the finer points of the game (my use case!).
The one problem--and this is a limitation of the current spec--is that the board gets redrawn each time the AI takes a turn. That's actually not that bad, but when the spec adds persistent/reusable views it will be even cooler.