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/DataControllerADD.swift

@@ -26,7 +26,7 @@ extension DataController {
         )
 
         modelContext.insert(entry)
-        EventLogger.log(event: "add_entry", withData: ["entry_type": entryType.rawValue])
+        AnalyticsManager.shared.track(.moodLogged(mood: mood.rawValue, entryType: String(describing: entryType)))
         saveAndRunDataListeners()
     }
 
@@ -69,7 +69,7 @@ extension DataController {
 
         // Single save and listener notification at the end
         saveAndRunDataListeners()
-        EventLogger.log(event: "filled_in_missing_entries", withData: ["count": missing.count])
+        AnalyticsManager.shared.track(.missingEntriesFilled(count: missing.count))
     }
 
     func fixWrongWeekdays() {
@@ -83,6 +83,5 @@ extension DataController {
     func removeNoForDates() {
         // Note: With SwiftData's non-optional forDate, this is essentially a no-op
         // Keeping for API compatibility
-        EventLogger.log(event: "removed_entry_no_for_date", withData: ["count": 0])
     }
 }

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
     }
 }