handleWebsiteRequest_(request) {
    if (request.request && goog.object.containsKey(request, 'action')) {
      // This is an openCompose request.
      if (!this.isPromptDisplayed_()) {
        this.openPrompt_(request);
      }
    }
  }
Handles incoming web application request.
@param {!e2e.ext.messages.BridgeMessageRequest} request Request from the
   web application displayed in the webview.
@private