fix: disable KeyboardAvoidingView on Android, sync widget on app start (#6, #9)

- Set KeyboardAvoidingView behavior to undefined on Android to avoid
  conflict with native adjustResize (was causing double-resize)
- Call syncWidgetData() at app startup to populate subtasks in widget cache
- Keyboard.addListener + adjustResize handles scroll correctly on Android

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

app/_layout.tsx

@@ -12,6 +12,7 @@ import migrations from '@/src/db/migrations/migrations';
 import { ensureInbox } from '@/src/db/repository/lists';
 import { useSettingsStore } from '@/src/stores/useSettingsStore';
 import { initNotifications } from '@/src/services/notifications';
+import { syncWidgetData } from '@/src/services/widgetSync';
 import '@/src/i18n';
 import '@/src/global.css';
 
@@ -66,6 +67,7 @@ export default function RootLayout() {
     if (fontsLoaded && migrationsReady) {
       ensureInbox().then(async () => {
         await initNotifications();
+        syncWidgetData().catch(() => {});
         SplashScreen.hideAsync();
       });
     }

app/task/[id].tsx

@@ -223,7 +223,7 @@ export default function TaskDetailScreen() {
         </View>
       </View>
 
-      <KeyboardAvoidingView className="flex-1" behavior={Platform.OS === 'ios' ? 'padding' : 'height'}>
+      <KeyboardAvoidingView className="flex-1" behavior={Platform.OS === 'ios' ? 'padding' : undefined}>
       <ScrollView ref={scrollRef} className="flex-1 px-4 pt-4" keyboardShouldPersistTaps="handled">
         {/* Title */}
         <TextInput

app/task/new.tsx

@@ -150,7 +150,7 @@ export default function NewTaskScreen() {
         </Pressable>
       </View>
 
-      <KeyboardAvoidingView className="flex-1" behavior={Platform.OS === 'ios' ? 'padding' : 'height'}>
+      <KeyboardAvoidingView className="flex-1" behavior={Platform.OS === 'ios' ? 'padding' : undefined}>
       <ScrollView ref={scrollRef} className="flex-1 px-4 pt-4" keyboardShouldPersistTaps="handled">
         {/* Title */}
         <TextInput