polish iOS study flow

mobile/ios-app/App/HermesApp.swift

@@ -2,11 +2,14 @@ import SwiftUI
 
 @main
 struct HermesApp: App {
+    @StateObject private var analytics = HermesAnalyticsClient()
+
     var body: some Scene {
         WindowGroup {
             RootView()
                 .preferredColorScheme(.dark)
                 .tint(HermesTheme.accent)
+                .environmentObject(analytics)
         }
     }
 }

mobile/ios-app/App/RootView.swift

@@ -2,6 +2,7 @@ import SwiftUI
 
 struct RootView: View {
     @StateObject private var localization = LocalizationStore()
+    @EnvironmentObject private var analytics: HermesAnalyticsClient
 
     var body: some View {
         NavigationStack {
@@ -20,6 +21,10 @@ struct RootView: View {
             .navigationBarTitleDisplayMode(.inline)
         }
         .environmentObject(localization)
+        .onAppear {
+            analytics.track("app_opened", attributes: ["screen_name": "home"])
+            analytics.track("screen_viewed", attributes: ["screen_name": "home"])
+        }
     }
 
     private var header: some View {
@@ -51,6 +56,7 @@ struct RootView: View {
 
         return Button {
             localization.setLocale(localeCode)
+            analytics.track("locale_changed", attributes: ["locale_code": localeCode])
         } label: {
             Text(title)
                 .font(.caption.weight(.bold))