How do you handle customers expecting instant replies in Intercom Messenger?

Hi there — I’m wondering if anyone can share best practices for setting expectations in the Messenger that customers are not always in a real-time live chat with a support agent. As many of you probably experience, our agents often help multiple customers at once or may be briefly unavailable. However, some customers assume it’s a live chat and will send repeated messages asking if we’re there if we don’t respond right away. I imagine there must be a good way to set expectations through automated messages or Messenger settings, but I’m not sure where to start. Any suggestions would be greatly appreciated!