New Game: Chess Chouette

Inspired by [backgammon chouette], a group of players rotate in and out of a single game, betting on the outcome.

Maybe you could buy out the side that you think is going to win, and that lets you swap in. Some kind of auction mechanism, maybe with a tithe to the pot?

[backgammon chouette]: https://en.wikipedia.org/wiki/Backgammon_chouette

Start by reviewing the existing chess-kit game implementations and how they represent players, turns, and wagers; no specific files or tests are named in the issue. Define the rules for rotating players, buying out a side, auctions, and the pot contribution before implementation. Done means the game has agreed mechanics and tests covering those rules.

Written by the indexing model from the issue text.