Fix coast-to-coast trips and improve itinerary display

- Fix same-day different-city validation in C2C routes (no more impossible
  games like Detroit 7:30pm AND Milwaukee 8pm on the same day)
- Cap C2C trips at 14 days max with 3 middle stops, prefer shortest routes
- Add sport icon and name to game rows in trip itinerary
- Add horizontal scroll to route dots in suggested trip cards
- Allow swipe-to-dismiss on home sheet (trip planner still blocks)
- Generate travel segments for suggested trips
- Increase DAG route lookahead to 5 days for multi-day drives

🤖 Generated with [Claude Code](https://claude.com/claude-code)

Co-Authored-By: Claude Opus 4.5 <noreply@anthropic.com>

SportsTime/Features/Trip/Views/TripDetailView.swift

@@ -651,16 +651,28 @@ struct GameRow: View {
             SportColorBar(sport: game.game.sport)
 
             VStack(alignment: .leading, spacing: 4) {
-                // Matchup
-                HStack(spacing: 4) {
-                    Text(game.awayTeam.abbreviation)
-                        .font(.system(size: Theme.FontSize.body, weight: .bold))
-                    Text("@")
-                        .foregroundStyle(Theme.textMuted(colorScheme))
-                    Text(game.homeTeam.abbreviation)
-                        .font(.system(size: Theme.FontSize.body, weight: .bold))
+                // Sport badge + Matchup
+                HStack(spacing: 6) {
+                    // Sport icon and name
+                    HStack(spacing: 3) {
+                        Image(systemName: game.game.sport.iconName)
+                            .font(.system(size: 10))
+                        Text(game.game.sport.rawValue)
+                            .font(.system(size: 10, weight: .medium))
+                    }
+                    .foregroundStyle(game.game.sport.themeColor)
+
+                    // Matchup
+                    HStack(spacing: 4) {
+                        Text(game.awayTeam.abbreviation)
+                            .font(.system(size: Theme.FontSize.body, weight: .bold))
+                        Text("@")
+                            .foregroundStyle(Theme.textMuted(colorScheme))
+                        Text(game.homeTeam.abbreviation)
+                            .font(.system(size: Theme.FontSize.body, weight: .bold))
+                    }
+                    .foregroundStyle(Theme.textPrimary(colorScheme))
                 }
-                .foregroundStyle(Theme.textPrimary(colorScheme))
 
                 // Stadium
                 HStack(spacing: 4) {