Consolidate extension data providers and add side effects catch-up

- Create unified ExtensionDataProvider for Widget and Watch targets
- Remove duplicate WatchDataProvider and WatchConnectivityManager from Watch App
- Add side effects catch-up mechanism in MoodLogger for widget votes
- Process pending side effects on app launch and midnight background task
- Reduce ~450 lines of duplicated code across targets

🤖 Generated with [Claude Code](https://claude.com/claude-code)

Co-Authored-By: Claude Opus 4.5 <noreply@anthropic.com>

Feels Watch App/ContentView.swift

@@ -53,7 +53,7 @@ struct ContentView: View {
         // Also save locally as fallback and for immediate complication updates
         Task { @MainActor in
             // Always save locally for immediate complication display
-            WatchDataProvider.shared.addMood(mood, forDate: date)
+            ExtensionDataProvider.shared.add(mood: mood, forDate: date, entryType: .watch)
 
             // Send to iPhone - it will handle HealthKit, Live Activity, etc.
             _ = WatchConnectivityManager.shared.sendMoodToPhone(mood: mood.rawValue, date: date)