Stabilizza regia, live web e sync punteggi app nativa.

Corregge scadenza token regia oltre le 8h, tabellone HTML sulla pagina live,
pulsanti pausa/ripresa in regia, link admin e broadcast ActionCable diretto.
App Android: overlay branding, sync score da regia via WebSocket con reconnect e poll.

Co-authored-by: Cursor <cursoragent@cursor.com>

backend/app/helpers/admin_helper.rb

@@ -19,4 +19,22 @@ module AdminHelper
     mins = minutes % 60
     hours.positive? ? "#{hours}h #{mins}m" : "#{mins} min"
   end
+
+  def admin_session_watch_links(session)
+    links = []
+    if session.matchlivetv_platform?
+      links << { label: "Pagina live", url: session.watch_page_url }
+    end
+    youtube = session.youtube_watch_url
+    links << { label: "YouTube", url: youtube } if youtube.present?
+    links
+  end
+
+  def admin_regia_expires_label(iso_time)
+    return if iso_time.blank?
+
+    Time.zone.parse(iso_time).strftime("%d/%m/%Y %H:%M")
+  rescue ArgumentError, TypeError
+    nil
+  end
 end

backend/app/helpers/public/live_helper.rb

@@ -61,6 +61,36 @@ module Public
       "#{match.team.name} #{score_state.home_points} - #{score_state.away_points} #{match.opponent_name}"
     end
 
+    def live_scorebug_columns(score_state)
+      unless score_state
+        return {
+          labels: ["1"],
+          home: ["0"],
+          away: ["0"],
+          live_index: 0
+        }
+      end
+
+      partials = Array(score_state.set_partials)
+      labels = partials.map { |p| (p["set"] || p[:set]).to_s }
+      home = partials.map { |p| (p["home"] || p[:home]).to_s }
+      away = partials.map { |p| (p["away"] || p[:away]).to_s }
+      labels << score_state.current_set.to_s
+      home << score_state.home_points.to_s
+      away << score_state.away_points.to_s
+      {
+        labels: labels,
+        home: home,
+        away: away,
+        live_index: labels.length - 1
+      }
+    end
+
+    def live_scorebug_team_label(name, max: 16)
+      n = name.to_s
+      n.length <= max ? n : "#{n[0, max - 1]}…"
+    end
+
     # Colore ospite sul tabellone: secondario società se leggibile su bianco, altrimenti blu visitatore.
     def live_scorebug_away_color(team)
       club = team.club