@_j summed it up nicely.
You’ll need to either directly inject the context into the next assistant response, or you’ll need to offload it into a function call that will “prettify” the context for chat format.
You could hack the context into a previous assistant message and then hide that from the user, I suppose, but I haven’t tried that.
Check out https://www.stack-ai.com/ for some pretty powerful visual tools to get inspiration and a playground for orchestration.