refactor game result view variable naming and layout

lib/presentation/views/main_menu/game_result_view.dart

@@ -5,7 +5,6 @@ import 'package:game_tracker/data/dto/game.dart';
 import 'package:game_tracker/data/dto/player.dart';
 import 'package:game_tracker/presentation/widgets/buttons/custom_width_button.dart';
 import 'package:game_tracker/presentation/widgets/tiles/custom_radio_list_tile.dart';
-import 'package:game_tracker/presentation/widgets/top_centered_message.dart';
 import 'package:provider/provider.dart';
 
 class GameResultView extends StatefulWidget {
@@ -20,14 +19,16 @@ class GameResultView extends StatefulWidget {
 class _GameResultViewState extends State<GameResultView> {
   late final List<Player> allPlayers;
   late final AppDatabase db;
-  Player? _player;
+  Player? _selectedPlayer;
 
   @override
   void initState() {
     db = Provider.of<AppDatabase>(context, listen: false);
     allPlayers = getAllPlayers(widget.game);
     if (widget.game.winner != null) {
-      _player = allPlayers.firstWhere((p) => p.id == widget.game.winner!.id);
+      _selectedPlayer = allPlayers.firstWhere(
+        (p) => p.id == widget.game.winner!.id,
+      );
     }
     super.initState();
   }
@@ -78,20 +79,13 @@ class _GameResultViewState extends State<GameResultView> {
                         fontWeight: FontWeight.bold,
                       ),
                     ),
-                    const SizedBox(height: 2),
+                    const SizedBox(height: 10),
-                    Visibility(
+                    Expanded(
-                      visible: allPlayers.isNotEmpty,
-                      replacement: const TopCenteredMessage(
-                        icon: Icons.info,
-                        title: 'Info',
-                        message: 'No players in this game.',
-                      ),
-                      child: Expanded(
                       child: RadioGroup<Player>(
-                          groupValue: _player,
+                        groupValue: _selectedPlayer,
                         onChanged: (Player? value) {
                           setState(() {
-                              _player = value;
+                            _selectedPlayer = value;
                           });
                         },
                         child: ListView.builder(
@@ -102,7 +96,7 @@ class _GameResultViewState extends State<GameResultView> {
                               value: allPlayers[index],
                               onContainerTap: (value) {
                                 setState(() {
-                                    _player = value;
+                                  _selectedPlayer = value;
                                 });
                               },
                             );
@@ -110,7 +104,6 @@ class _GameResultViewState extends State<GameResultView> {
                         ),
                       ),
                     ),
-                    ),
                   ],
                 ),
               ),
@@ -118,11 +111,11 @@ class _GameResultViewState extends State<GameResultView> {
             CustomWidthButton(
               text: 'Save',
               sizeRelativeToWidth: 0.95,
-              onPressed: _player != null
+              onPressed: _selectedPlayer != null
                   ? () async {
                       bool success = await db.gameDao.setWinner(
                         gameId: widget.game.id,
-                        winnerId: _player!.id,
+                        winnerId: _selectedPlayer!.id,
                       );
                       if (!context.mounted) return;
                       if (success) {