feat: PostHog analytics wiring across all key screens

- Commit untracked posthog_service.dart (fire-and-forget HTTP client,
  EU data residency, already used by auth for identify/reset)
- screen() calls: Home, Contribute, Profile, EventDetail (with event_id)
- capture('event_tapped') on hero carousel card tap (source: hero_carousel)
- capture('book_now_tapped') in _navigateToCheckout (event_id + name)
- capture('review_submitted') in _handleSubmit (event_id + rating)
- Covers all 4 expansion items from security audit finding 8.2

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

lib/screens/learn_more_screen.dart

@@ -18,6 +18,7 @@ import '../features/reviews/widgets/review_section.dart';
 import '../widgets/tier_avatar_ring.dart';
 import 'contributor_profile_screen.dart';
 import 'checkout_screen.dart';
+import '../core/analytics/posthog_service.dart';
 
 class LearnMoreScreen extends StatefulWidget {
   final int eventId;
@@ -37,6 +38,10 @@ class _LearnMoreScreenState extends State<LearnMoreScreen> with SingleTickerProv
   void _navigateToCheckout() {
     if (!AuthGuard.requireLogin(context, reason: 'Sign in to book this event.')) return;
     if (_event == null) return;
+    PostHogService.instance.capture('book_now_tapped', properties: {
+      'event_id': _event!.id,
+      'event_name': _event!.name ?? _event!.title ?? '',
+    });
     Navigator.of(context).push(MaterialPageRoute(
       builder: (_) => CheckoutScreen(
         eventId: _event!.id,
@@ -71,6 +76,7 @@ class _LearnMoreScreenState extends State<LearnMoreScreen> with SingleTickerProv
   @override
   void initState() {
     super.initState();
+    PostHogService.instance.screen('EventDetail', properties: {'event_id': widget.eventId});
     _fadeController = AnimationController(vsync: this, duration: const Duration(milliseconds: 350));
     _fade = CurvedAnimation(parent: _fadeController, curve: Curves.easeIn);
     _pageNotifier = ValueNotifier(0);