We are setting up Messaging in one of our brands, and we want it to show the past conversations between the end-user and our support like they are seen below (Taken out of my own Chats with Zendesk Support). As of now, they just show on the Client's end as one continuous conversation.
What setting are we missing in order to get it set up?

Thanks for posting your question to the Community! Just to make sure I understand what you're for, are you trying to allow your agents to have a continuous stream of conversations similar to what customers/clients see? When one conversation ends with a client the next conversation with a new client will start up on the same screen?
Looking forward to hearing back!
Erica