When !wordle is used in a public room (e.g. Commands), the bot now
sends "📬 Check your DMs to play Wordle!" before redirecting the game
to a DM. Previously the user saw no response at all.
Also refactors handle_wordle to resolve the DM room once and reuse it
across all subcommands, eliminating repeated _get_dm_room calls.
Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>