simplified code across the app and consolidated duplicated helpers

lib/app.dart

@@ -80,6 +80,25 @@ class _AppState extends State<App> with WidgetsBindingObserver {
     }
   }
 
+  /// Shares one debounce key, so a later emit supersedes a pending publish.
+  void _scheduleWidgetPublish(TimetableState data, Duration delay) {
+    final settingsCubit = context.read<SettingsCubit>();
+    final capabilitiesCubit = context.read<CapabilitiesCubit>();
+    final epoch = SessionManager().sessionEpoch;
+    Debouncer.debounce(
+      'widgetPublish',
+      delay,
+      () => unawaited(
+        WidgetPublisher.publishFromBlocState(
+          data,
+          settings: settingsCubit.val(),
+          isTeacher: capabilitiesCubit.isTeacher,
+          epoch: epoch,
+        ),
+      ),
+    );
+  }
+
   void _reportTelemetry() {
     if (!mounted) return;
     TelemetryHeartbeat.report(
@@ -125,13 +144,18 @@ class _AppState extends State<App> with WidgetsBindingObserver {
     final pending = await WidgetNavigation.consumePendingTimetableTap();
     if (!pending || !mounted) return;
     // `withNavBar: false` routes sit on the root navigator above the
-    // bottom-nav; pop them so jumpToTab is actually visible. Stop at
-    // popups so open dialogs/sheets stay alive.
+    // bottom-nav; pop them so jumpToTab is actually visible.
+    _popToShell();
+    AppRoutes.goToTab(context, Modules.timetable);
+  }
+
+  /// Pops full-page routes back to the tab shell, stopping at popups so open
+  /// dialogs/sheets stay alive.
+  void _popToShell() {
     final navigator = Navigator.of(context);
     if (navigator.canPop()) {
       navigator.popUntil((route) => route.isFirst || route is PopupRoute);
     }
-    AppRoutes.goToTab(context, Modules.timetable);
   }
 
   void _handlePendingShare() {
@@ -140,10 +164,7 @@ class _AppState extends State<App> with WidgetsBindingObserver {
     if (share == null || ShareIntentListener.instance.isShown(share)) return;
     // A second share would otherwise leave the previous share-flow page
     // on top with stale (already-cleared) file paths.
-    final navigator = Navigator.of(context);
-    if (navigator.canPop()) {
-      navigator.popUntil((route) => route.isFirst || route is PopupRoute);
-    }
+    _popToShell();
     ShareIntentListener.instance.markShown(share);
     AppRoutes.openShareTarget(context, share);
   }
@@ -166,27 +187,13 @@ class _AppState extends State<App> with WidgetsBindingObserver {
       timetable.refresh();
       // Mirror BLoC updates into the home-screen widget without waiting
       // for the periodic background refresh.
-      final settingsCubit = context.read<SettingsCubit>();
-      final capabilitiesCubit = context.read<CapabilitiesCubit>();
       _timetableWidgetSync?.cancel();
       // Debounced: a refresh or week swipe emits several times in a row, and
       // only the settled state is worth mirroring.
       _timetableWidgetSync = timetable.stream.listen((state) {
         final data = state.data;
         if (data is TimetableState && !state.isLoading) {
-          final epoch = SessionManager().sessionEpoch;
-          Debouncer.debounce(
-            'widgetPublish',
-            const Duration(seconds: 1),
-            () => unawaited(
-              WidgetPublisher.publishFromBlocState(
-                data,
-                settings: settingsCubit.val(),
-                isTeacher: capabilitiesCubit.isTeacher,
-                epoch: epoch,
-              ),
-            ),
-          );
+          _scheduleWidgetPublish(data, const Duration(seconds: 1));
         }
       });
       // Initial publish in case hydrated storage already has data. The widget
@@ -194,19 +201,7 @@ class _AppState extends State<App> with WidgetsBindingObserver {
       // frames are done (a fresh bloc emit in the meantime supersedes it).
       final initialData = timetable.state.data;
       if (initialData is TimetableState) {
-        final epoch = SessionManager().sessionEpoch;
-        Debouncer.debounce(
-          'widgetPublish',
-          const Duration(seconds: 3),
-          () => unawaited(
-            WidgetPublisher.publishFromBlocState(
-              initialData,
-              settings: settingsCubit.val(),
-              isTeacher: capabilitiesCubit.isTeacher,
-              epoch: epoch,
-            ),
-          ),
-        );
+        _scheduleWidgetPublish(initialData, const Duration(seconds: 3));
       }
       unawaited(_handlePendingWidgetNavigation());
       ShareIntentListener.pending.addListener(_handlePendingShare);