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/Persisence/DataControllerUPDATE.swift

@@ -18,7 +18,7 @@ extension DataController {
         entry.moodValue = mood.rawValue
         saveAndRunDataListeners()
 
-        EventLogger.log(event: "update_entry")
+        AnalyticsManager.shared.track(.moodUpdated(mood: mood.rawValue))
         return true
     }
 
@@ -33,7 +33,7 @@ extension DataController {
         entry.notes = notes
         saveAndRunDataListeners()
 
-        EventLogger.log(event: "update_notes")
+        AnalyticsManager.shared.track(.noteUpdated(characterCount: (notes ?? "").count))
         return true
     }
 
@@ -48,7 +48,11 @@ extension DataController {
         entry.photoID = photoID
         saveAndRunDataListeners()
 
-        EventLogger.log(event: "update_photo")
+        if photoID != nil {
+            AnalyticsManager.shared.track(.photoAdded)
+        } else {
+            AnalyticsManager.shared.track(.photoDeleted)
+        }
         return true
     }
 }