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/Services/PhotoManager.swift

@@ -95,7 +95,7 @@ class PhotoManager: ObservableObject {
             try? thumbnailData.write(to: thumbnailURL)
         }
 
-        EventLogger.log(event: "photo_saved")
+        AnalyticsManager.shared.track(.photoAdded)
         return photoID
     }
 
@@ -163,7 +163,7 @@ class PhotoManager: ObservableObject {
         }
 
         if success {
-            EventLogger.log(event: "photo_deleted")
+            AnalyticsManager.shared.track(.photoDeleted)
         }
 
         return success