feat(amazonq): Add log for signalling the chat UI and server are ready

Author: tsmithsz

plugins/amazonq/chat/jetbrains-community/src/software/aws/toolkits/jetbrains/services/amazonq/webview/BrowserConnector.kt

@@ -303,6 +303,7 @@ class BrowserConnector(
             CHAT_READY -> {
                 handleChat(AmazonQChatServer.chatReady, node) { params, invoke ->
                     uiReady.complete(true)
+                    LOG.info("Amazon Q Chat server initialized and ready to process events")
                     chatCommunicationManager.setUiReady()
                     RunOnceUtil.runOnceForApp("AmazonQ-UI-Ready") {
                         MeetQSettings.getInstance().reinvent2024OnboardingCount += 1