Stage 7 (wip): wire remaining ops (backend REST, FBS, gateway transcode) + real UI transport

backend: REST handlers for pass/exchange/resign/hint/evaluate/check_word/complaint/history/chat-list/nudge + new game.ListForAccount (my games) + seat display_name resolution
pkg/fbs: GameActionRequest/ExchangeRequest/EvalRequest/EvalResult/CheckWordRequest/WordCheckResult/ComplaintRequest/HintResult/History/GameList/ChatList + SeatView.display_name; committed Go regenerated (flatc 23.5.26)
gateway: 11 new transcode ops + backendclient methods + FB encoders
ui: edge TS codegen (flatc --ts + protoc-gen-es, committed), FlatBuffers<->model codec, real connect-web transport (binary, bearer auth, Subscribe). prod bundle ~69KB gzip JS

backend/internal/game/service.go

@@ -566,6 +566,13 @@ func (svc *Service) Participants(ctx context.Context, gameID uuid.UUID) ([]uuid.
 	return seats, g.ToMove, g.Status, nil
 }
 
+// ListForAccount returns every game the account is seated in, newest first, for the
+// lobby's active/finished lists. The live position is not loaded — the summaries come
+// straight from the durable rows.
+func (svc *Service) ListForAccount(ctx context.Context, accountID uuid.UUID) ([]Game, error) {
+	return svc.store.ListGamesForAccount(ctx, accountID)
+}
+
 // History returns a game's full, dictionary-independent move journal.
 func (svc *Service) History(ctx context.Context, gameID uuid.UUID) (HistoryView, error) {
 	g, err := svc.store.GetGame(ctx, gameID)