refactor(watch): shared point-of-use resolution across consumers

Adds context.withFreshWatchState/readFreshWatchState and sweeps the
remaining session-critical readers: context menu actions, folder tree
rows, discover hero, and TV spotlight minutes-left.

lib/screens/libraries/folder_tree_item.dart

@@ -5,6 +5,7 @@ import 'package:flutter/material.dart';
 import 'package:plezy/widgets/app_icon.dart';
 import 'package:material_symbols_icons/symbols.dart';
 import '../../focus/focusable_button.dart';
+import '../../providers/watch_state_store.dart';
 import '../../focus/focusable_wrapper.dart';
 import '../../media/media_item.dart';
 import '../../media/media_item_types.dart';
@@ -72,6 +73,8 @@ class FolderTreeItem extends StatelessWidget {
     return item.displayTitle;
   }
 
+  MediaItem _effectiveItem(BuildContext context) => context.withFreshWatchState(item);
+
   String? _dedupeSubtitle(String? subtitle) {
     final value = subtitle?.trim();
     if (value == null || value.isEmpty || value == _rowTitle()) return null;
@@ -271,6 +274,8 @@ class FolderTreeItem extends StatelessWidget {
   }
 
   Widget _buildWatchOverlay(BuildContext context, bool showUnwatchedCount) {
+    // Shadows the field with the session-fresh view; everything below reads it.
+    final item = _effectiveItem(context);
     final hasActiveProgress = item.hasActiveProgress;
 
     return Stack(