Refresh conversationInfo on every session sync

Update lastMessage and summary even when no new chat messages arrive,
so the UI reflects edits and reordering that happen outside of new
message arrivals.

Author: claude-island

ClaudeIsland/Services/State/SessionStore.swift

@@ -1126,6 +1126,10 @@ actor SessionStore {
                 await self?.process(.clearDetected(sessionId: sessionId))
             }
 
+            // Always update conversationInfo (lastMessage, summary, etc.)
+            // even when there are no new chat messages to process
+            await self?.updateConversationInfo(sessionId: sessionId, cwd: cwd)
+
             guard !result.newMessages.isEmpty || result.clearDetected else {
                 return
             }
@@ -1144,6 +1148,18 @@ actor SessionStore {
         }
     }
 
+    /// Update conversationInfo (lastMessage, summary, etc.) independently of chat item processing
+    private func updateConversationInfo(sessionId: String, cwd: String) async {
+        guard var session = sessions[sessionId] else { return }
+        let conversationInfo = await ConversationParser.shared.parse(
+            sessionId: sessionId,
+            cwd: cwd
+        )
+        session.conversationInfo = conversationInfo
+        sessions[sessionId] = session
+        publishState()
+    }
+
     private func cancelPendingSync(sessionId: String) {
         pendingSyncs[sessionId]?.cancel()
         pendingSyncs.removeValue(forKey: sessionId)