History example doesn't correctly save and restore previous conversations #300
Description
I was experimenting with the chat history example at https://shiny.posit.co/py/docs/genai-chatbots.html#message-history and found that it didn't correctly restore conversations when switching between them.
It's easiest to demonstrate with a video:
history-bug1.mp4
Also, I think it doesn't save the current conversation when switching away from a conversation using the selector, without pressing "New chat" first.