23a0cafe18
Replace std::sync::Mutex with tokio::sync::Mutex; extract try_join_room, register_player, spawn_forwarder, broadcast_room_state, spawn_message_handler, remove_player. Use Game::process_throw in the message handler. Ultraworked with [Sisyphus](https://github.com/code-yeongyu/oh-my-openagent) Co-authored-by: Sisyphus <clio-agent@sisyphuslabs.ai>