Backups: carry your settings, and bring them back on import

lib/app.dart

@@ -7,6 +7,7 @@ import 'package:provider/provider.dart';
 import 'ai/briefing.dart' show BriefingPeriod;
 import 'coach/coach_config.dart';
 import 'data/db.dart';
+import 'data/backup_extras.dart' show settingsRestoredSignal;
 import 'l10n/app_localizations.dart';
 import 'notify/notification_service.dart';
 import 'notify/tap_router.dart';
@@ -15,6 +16,7 @@ import 'state/app_state.dart';
 import 'state/clock_format.dart';
 import 'state/locale_controller.dart';
 import 'state/prefs.dart';
+import 'state/units_controller.dart';
 import 'telemetry/telemetry_service.dart';
 import 'theme/theme_controller.dart';
 import 'theme/theme_switcher.dart';
@@ -62,6 +64,7 @@ class _OpenStrapAppState extends State<OpenStrapApp> with WidgetsBindingObserver
   void initState() {
     super.initState();
     WidgetsBinding.instance.addObserver(this);
+    settingsRestoredSignal.addListener(_onSettingsRestored);
     unawaited(LocalDb.setForeground(
         screenReadsForeground(WidgetsBinding.instance.lifecycleState)));
     // Hand the BYOK provider config to AppState (briefing generation + the
@@ -76,8 +79,34 @@ class _OpenStrapAppState extends State<OpenStrapApp> with WidgetsBindingObserver
     });
   }
 
+  void _onSettingsRestored() {
+    if (!mounted) return;
+    unawaited(_reloadRestoredSetting('theme_choice',
+        context.read<ThemeController>().reloadFromPrefs));
+    unawaited(_reloadRestoredSetting('locale_override',
+        context.read<LocaleController>().reloadFromPrefs));
+    unawaited(_reloadRestoredSetting('units_system',
+        context.read<UnitsController>().reloadFromPrefs));
+    unawaited(_reloadRestoredSetting('clock_format',
+        context.read<ClockFormatController>().reloadFromPrefs));
+  }
+
+  Future<void> _reloadRestoredSetting(
+      String key, Future<void> Function() reload) async {
+    try {
+      await reload();
+    } catch (error, stack) {
+      // Controllers parse before replacing their value, so a malformed pref
+      // leaves the current/default choice active while other reloads continue.
+      debugPrint('[import] $key reload failed: $error');
+      TelemetryService.instance.recordNonFatal(error, stack,
+          reason: 'restored $key reload failed');
+    }
+  }
+
   @override
   void dispose() {
+    settingsRestoredSignal.removeListener(_onSettingsRestored);
     WidgetsBinding.instance.removeObserver(this);
     super.dispose();
   }