feat(adminalert): operator email on new feedback / word complaints

New adminalert worker polls for feedback + word complaints arriving since the last check
and coalesces a burst into one digest email per interval (5 min), inert unless a distinct
admin sender (BACKEND_SMTP_ADMIN_FROM) and recipient (BACKEND_ADMIN_EMAIL, comma-separated
allowed) are configured. The mailer gains a per-message From override and splits a
comma-separated To into separate recipients (go-mail needs them as a list). Feedback/game
stores gain CountSince/CountComplaintsSince. Unit tests cover the digest, the skip-when-
empty, and the recipient split.

backend/internal/game/service.go

@@ -1008,6 +1008,12 @@ func (svc *Service) CountComplaints(ctx context.Context, status string) (int, er
 	return svc.store.CountComplaints(ctx, status)
 }
 
+// CountComplaintsSince counts word complaints filed after since, for the operator alert
+// worker.
+func (svc *Service) CountComplaintsSince(ctx context.Context, since time.Time) (int, error) {
+	return svc.store.CountComplaintsSince(ctx, since)
+}
+
 // ResolveComplaint closes a complaint with an operator disposition (reject /
 // accept_add / accept_remove) and an optional note. An accepted complaint then
 // appears in DictionaryChanges until a rebuilt dictionary is loaded and the

backend/internal/game/store.go

@@ -1040,6 +1040,19 @@ func (s *Store) CountComplaints(ctx context.Context, status string) (int, error)
 	return int(dest.Count), nil
 }
 
+// CountComplaintsSince counts word complaints filed strictly after since — the operator
+// alert worker's "new since the last check" signal.
+func (s *Store) CountComplaintsSince(ctx context.Context, since time.Time) (int, error) {
+	stmt := postgres.SELECT(postgres.COUNT(table.Complaints.ComplaintID).AS("count")).
+		FROM(table.Complaints).
+		WHERE(table.Complaints.CreatedAt.GT(postgres.TimestampzT(since)))
+	var dest struct{ Count int64 }
+	if err := stmt.QueryContext(ctx, s.db, &dest); err != nil {
+		return 0, fmt.Errorf("game: count complaints since: %w", err)
+	}
+	return int(dest.Count), nil
+}
+
 // ActiveGames returns the turn clocks of every in-progress game; the sweeper
 // filters them against the per-move deadline and the player's away window.
 func (s *Store) ActiveGames(ctx context.Context) ([]activeGame, error) {