Hiding the Dock icon

While Invisible is on, MoPilot leaves the Dock, the ⌘-Tab switcher and the menu bar. That is not tidiness: the same change takes the app out of the Applications tab of the share-a-window picker in Zoom, Teams and QuickTime, so the other side cannot even name the window, let alone share it.

Turning Invisible off puts all of it back. macOS sometimes promotes the app into the Dock on its own — opening it again from Spotlight or the Finder does exactly that — so the app re-checks and steps back out rather than leaving you looking at a Dock icon you did not ask for.