feat(ios): align chat library memory and tasks with web

ios/Sources/Features/Conversation/ConversationView.swift

@@ -60,6 +60,8 @@ struct ConversationView: View {
                 selectedTab = 0
             }, logout: {
                 await auth.logout { chat.close(); await session.disconnect() }
+            }, serverURL: activeServerURL, accountName: user.displayName ?? user.username, voiceConversationLocked: { id in
+                id == session.boundConversationID && session.state != .idle && !session.state.isFailed
             })
             .tabItem { Label("Chats", systemImage: "bubble.left.and.text.bubble.right") }
             .tag(2)
@@ -83,7 +85,7 @@ struct ConversationView: View {
             .tabItem { Label("Talk", systemImage: "bubble.left.and.bubble.right") }
             .tag(0)
 
-            ActivityTab(taskStore: session.taskStore, settings: settings, session: session)
+            ActivityTab(taskStore: session.taskStore, settings: settings, session: session, features: chat.features)
                 .tag(1)
         }
         .tint(HopeTheme.color(.accent, palette: HopePalette(rawValue: chat.preferences.palette) ?? .opal))
@@ -141,10 +143,17 @@ private struct ActivityTab: View {
     @ObservedObject var taskStore: TaskStore
     @ObservedObject var settings: SettingsStore
     @ObservedObject var session: VoiceSession
+    @ObservedObject var features: ChatFeatureStore
+    @State private var showSchedules = false
 
     var body: some View {
         NavigationStack {
             TaskPanelView(taskStore: taskStore)
+                .safeAreaInset(edge: .top) {
+                    Button("Scheduled tasks", systemImage: "calendar") { showSchedules = true }
+                        .frame(maxWidth: .infinity, minHeight: 44).padding(.horizontal).background(.regularMaterial)
+                }
+                .sheet(isPresented: $showSchedules) { ChatLibraryView(store: features, initialDestination: .tasks) }
                 .toolbar {
                     ToolbarItem(placement: .topBarTrailing) {
                         NavigationLink {