Introduce architettura multi-sport con catalogo, engine scoring e overlay.

Catalogo sport in YAML, board implicito, engine per volley/basket/timed/racket/timer/generic, regia e app Android allineate.

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

backend/app/helpers/public/live_helper.rb

@@ -1,13 +1,30 @@
 module Public
   module LiveHelper
-    def live_score_sets_label(score_state)
+    def live_score_sets_label(score_state, match = nil)
       return nil unless score_state
 
-      "Set #{score_state.current_set} · Set vinti #{score_state.home_sets}-#{score_state.away_sets}"
+      board = match&.effective_board_type || score_state.effective_board_type
+      case board
+      when "basket", "timed"
+        live_score_period_label(match, score_state)
+      when "timer"
+        "Cronometro"
+      when "generic"
+        "Punteggio"
+      else
+        "Set #{score_state.current_set} · Set vinti #{score_state.home_sets}-#{score_state.away_sets}"
+      end
+    end
+
+    def live_score_period_label(match, score_state)
+      return "—" unless score_state
+
+      score_state.current_period_label
     end
 
     def live_score_partials_label(score_state)
       return nil unless score_state
+      return nil unless score_state.effective_board_type.in?(%w[volley racket])
 
       partials = Array(score_state.set_partials)
       return nil if partials.empty?
@@ -58,7 +75,17 @@ module Public
     def live_score_points_label(match, score_state)
       return "—" unless score_state
 
-      "#{match.team.name} #{score_state.home_points} - #{score_state.away_points} #{match.opponent_name}"
+      board = match.effective_board_type
+      home = case board
+             when "basket", "timed" then score_state.basket_home_score
+             else score_state.home_points
+             end
+      away = case board
+             when "basket", "timed" then score_state.basket_away_score
+             else score_state.away_points
+             end
+
+      "#{match.team.name} #{home} - #{away} #{match.opponent_name}"
     end
 
     private

backend/app/helpers/public/regia_helper.rb

@@ -0,0 +1,32 @@
+module Public
+  module RegiaHelper
+    def regia_board_partial(match)
+      board = match.effective_board_type
+      partial = "public/regia/#{board}"
+      lookup_context.exists?(partial, [], true) ? partial : "public/regia/volley"
+    end
+
+    def regia_header_subtitle(match, score)
+      board = match.effective_board_type
+      case board
+      when "basket", "timed"
+        live_score_period_label(match, score)
+      when "timer"
+        "Cronometro"
+      when "generic"
+        "Punteggio"
+      else
+        "Set #{score.current_set}"
+      end
+    end
+
+    def format_clock_secs(secs, count_up: false)
+      total = secs.to_i
+      return count_up ? "0:00" : "—" if total <= 0 && !count_up
+
+      m = total / 60
+      s = total % 60
+      format("%d:%02d", m, s)
+    end
+  end
+end