New opens where you already are
Starting a new path no longer takes over the window: the composer opens inside the app shell with the sidebar and header in place.
Clicking New in the sidebar now opens the path composer in the same frame as Home, Paths and the Skill Graph. The sidebar stays put with New highlighted, the header reads "New path", and the composer's own Cancel and progress bar sit just under it while the conversation scrolls. The same applies when you reach the composer from a path.