Replace EventLogger with typed AnalyticsManager using PostHog

Complete analytics overhaul: delete EventLogger.swift, create Analytics.swift
with typed event enum (~45 events), screen tracking, super properties
(theme, icon pack, voting layout, etc.), session replay with kill switch,
autocapture, and network telemetry. Replace all 99 call sites across 38 files
with compiler-enforced typed events in object_action naming convention.

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

Shared/Views/MonthView/MonthDetailView.swift

@@ -77,7 +77,7 @@ struct MonthDetailView: View {
                 )
         }
         .onAppear(perform: {
-            EventLogger.log(event: "show_month_detail_view")
+            AnalyticsManager.shared.trackScreen(.monthDetail)
         })
         .background(
             theme.currentTheme.bg

Shared/Views/MonthView/MonthView.swift

@@ -337,10 +337,10 @@ struct MonthView: View {
             }
         }
         .sheet(isPresented: $showSubscriptionStore) {
-            FeelsSubscriptionStoreView()
+            FeelsSubscriptionStoreView(source: "month_gate")
         }
         .onAppear(perform: {
-            EventLogger.log(event: "show_month_view")
+            AnalyticsManager.shared.trackScreen(.month)
         })
         .padding([.top])
         .background(