Menu: Add a "Connections" menu item that lists all currently connected apps

Let's consider adding an OS-level "Connections" menu that lets you switch between connections, and which changes as connections add/drop.

No files, tests, or entry points are identified in the issue. Start by locating the desktop app's OS-level menu and the state that tracks connected apps; done means a Connections item lists current connections, supports switching between them, and updates when connections are added or dropped.

Written by the indexing model from the issue text.