feat(ui): UI 컴포넌트 및 위젯 개선

- 게임 플레이 화면 개선
- 캐로셀 네비게이션 개선
- 각 페이지 위젯 스타일 통일
- 레트로 스타일 공통 위젯 개선

lib/src/features/game/game_session_controller.dart

@@ -1,13 +1,14 @@
 import 'dart:async';
 
-import 'package:askiineverdie/src/core/engine/progress_loop.dart';
-import 'package:askiineverdie/src/core/engine/progress_service.dart';
-import 'package:askiineverdie/src/core/engine/resurrection_service.dart';
-import 'package:askiineverdie/src/core/engine/shop_service.dart';
-import 'package:askiineverdie/src/core/model/game_state.dart';
-import 'package:askiineverdie/src/core/model/game_statistics.dart';
-import 'package:askiineverdie/src/core/storage/save_manager.dart';
-import 'package:askiineverdie/src/core/storage/statistics_storage.dart';
+import 'package:asciineverdie/src/core/engine/progress_loop.dart';
+import 'package:asciineverdie/src/core/engine/progress_service.dart';
+import 'package:asciineverdie/src/core/engine/resurrection_service.dart';
+import 'package:asciineverdie/src/core/engine/shop_service.dart';
+import 'package:asciineverdie/src/core/model/game_state.dart';
+import 'package:asciineverdie/src/core/model/game_statistics.dart';
+import 'package:asciineverdie/src/core/storage/hall_of_fame_storage.dart';
+import 'package:asciineverdie/src/core/storage/save_manager.dart';
+import 'package:asciineverdie/src/core/storage/statistics_storage.dart';
 import 'package:flutter/foundation.dart';
 
 enum GameSessionStatus { idle, loading, running, error, dead }
@@ -21,14 +22,17 @@ class GameSessionController extends ChangeNotifier {
     Duration tickInterval = const Duration(milliseconds: 50),
     DateTime Function()? now,
     StatisticsStorage? statisticsStorage,
+    HallOfFameStorage? hallOfFameStorage,
   }) : _tickInterval = tickInterval,
        _now = now ?? DateTime.now,
-       _statisticsStorage = statisticsStorage ?? StatisticsStorage();
+       _statisticsStorage = statisticsStorage ?? StatisticsStorage(),
+       _hallOfFameStorage = hallOfFameStorage ?? HallOfFameStorage();
 
   final ProgressService progressService;
   final SaveManager saveManager;
   final AutoSaveConfig autoSaveConfig;
   final StatisticsStorage _statisticsStorage;
+  final HallOfFameStorage _hallOfFameStorage;
 
   final Duration _tickInterval;
   final DateTime Function() _now;
@@ -88,6 +92,9 @@ class GameSessionController extends ChangeNotifier {
     }
     _initPreviousValues(state);
 
+    // 명예의 전당 체크 → 가용 배속 결정
+    final availableSpeeds = await _getAvailableSpeeds();
+
     _loop = ProgressLoop(
       initialState: state,
       progressService: progressService,
@@ -97,6 +104,7 @@ class GameSessionController extends ChangeNotifier {
       now: _now,
       cheatsEnabled: cheatsEnabled,
       onPlayerDied: _onPlayerDied,
+      availableSpeeds: availableSpeeds,
     );
 
     _subscription = _loop!.stream.listen((next) {
@@ -109,6 +117,20 @@ class GameSessionController extends ChangeNotifier {
     notifyListeners();
   }
 
+  /// 명예의 전당 상태에 따른 가용 배속 목록 반환
+  /// - 디버그 모드(치트 활성화): [1, 5, 20] (터보 모드)
+  /// - 명예의 전당에 캐릭터 없음: [1, 5]
+  /// - 명예의 전당에 캐릭터 있음: [1, 2, 5]
+  Future<List<int>> _getAvailableSpeeds() async {
+    // 디버그 모드면 터보(20x) 추가
+    if (_cheatsEnabled) {
+      return [1, 5, 20];
+    }
+
+    final hallOfFame = await _hallOfFameStorage.load();
+    return hallOfFame.isEmpty ? [1, 5] : [1, 2, 5];
+  }
+
   /// 이전 값 초기화 (통계 변화 추적용)
   void _initPreviousValues(GameState state) {
     _previousLevel = state.traits.level;