Chat history associated with the starter screen

I like to open Cursor without a project folder and ask questions

So, I see the usual welcome screen where I can open a folder but instead I hit cmd+L

I have a conversation, it suggests ideas etc etc
Then I decide to drag and drop an empty folder to experiment with the topic which leads to loosing an interesting conversation that cant be recovered. The history is empty. And the new window doesn’t have the history as well

It would be nice to have the chat history not associated with any project. History that binds to the starter screen