feat: honest AI opponent in quick game

New Game's quick game gains an explicit opponent selector — 🤖 AI (default)
or 👤 Random player. AI starts a game seated with a pooled robot that joins
and moves at once: no per-move timeout (a 7-day inactivity loss reusing the
turn-timeout sweeper), chat/nudge disabled, no statistics, the opponent shown
as 🤖 everywhere. The random path (disguised robot) is unchanged.

Driven by one game flag (games.vs_ai), set only on AI-started games so the
disguised path is never revealed; Matchmaker.StartVsAI seats the robot
directly (no open pool); the robot replies event-driven via the game service's
after-commit/after-create hook. Wire: vs_ai on EnqueueRequest + GameView.

backend/internal/server/handlers.go

@@ -168,6 +168,8 @@ func statusForError(err error) (int, string) {
 		return http.StatusConflict, "nudge_own_turn"
 	case errors.Is(err, game.ErrFinished), errors.Is(err, social.ErrGameNotActive):
 		return http.StatusConflict, "game_finished"
+	case errors.Is(err, social.ErrGameVsAI):
+		return http.StatusConflict, "ai_game"
 	case errors.Is(err, game.ErrNoOpponentYet):
 		return http.StatusConflict, "no_opponent_yet"
 	case errors.Is(err, game.ErrGameActive):