docs: add comprehensive integration guides and diagnostic method documentation

Add integration guides and update API documentation with new Android
diagnostic methods. Emphasize critical NotifyReceiver registration
requirement that was causing notification delivery failures.

Documentation Updates:
- API.md: Document isAlarmScheduled(), getNextAlarmTime(), testAlarm()
- README.md: Add Quick Integration section and Android diagnostic methods
- notification-testing-procedures.md: Add BroadcastReceiver troubleshooting

New Integration Guides:
- QUICK_INTEGRATION.md: Step-by-step guide for human developers
- AI_INTEGRATION_GUIDE.md: Machine-readable guide with verification steps
- TODO.md: Task tracking for pending improvements

Key Improvements:
- Explicit NotifyReceiver registration requirement highlighted
- Complete troubleshooting flow for BroadcastReceiver issues
- Diagnostic method examples for debugging alarm scheduling
- AI-friendly integration instructions with verification commands

Fixes notification delivery issues caused by missing NotifyReceiver
registration in host app AndroidManifest.xml files.

docs/notification-testing-procedures.md

@@ -435,8 +435,36 @@ adb logcat -c
 - Check exact alarm permissions: `adb shell "dumpsys alarm | grep SCHEDULE_EXACT_ALARM"`
 - Verify alarm is scheduled: `adb shell "dumpsys alarm | grep timesafari"`
 - Check battery optimization settings
+- Use diagnostic methods to verify alarm status:
+  ```typescript
+  // Check if alarm is scheduled
+  const status = await DailyNotification.isAlarmScheduled({
+    triggerAtMillis: scheduledTime
+  });
+  
+  // Get next alarm time
+  const nextAlarm = await DailyNotification.getNextAlarmTime();
+  
+  // Test alarm delivery
+  await DailyNotification.testAlarm({ secondsFromNow: 10 });
+  ```
 
-#### 4. App Crashes on Force Stop
+#### 4. BroadcastReceiver Not Invoked
+**Symptoms**: Alarm fires but notification doesn't appear, no logs from `NotifyReceiver`
+**Solutions**:
+- **CRITICAL**: Verify `NotifyReceiver` is registered in `AndroidManifest.xml`:
+  ```xml
+  <receiver android:name="com.timesafari.dailynotification.NotifyReceiver"
+            android:enabled="true"
+            android:exported="false">
+  </receiver>
+  ```
+- Check logs for `NotifyReceiver` registration: `adb logcat -d | grep -i "NotifyReceiver"`
+- Verify the receiver is in your app's manifest, not just the plugin's manifest
+- Check if app process is killed: `adb shell "ps | grep timesafari"`
+- Review alarm scheduling logs: `adb logcat -d | grep -E "DNP-NOTIFY|Alarm clock"`
+
+#### 5. App Crashes on Force Stop
 **Symptoms**: App crashes when force-stopped
 **Solutions**:
 - This is expected behavior - force-stop kills the app