There's essentially a permanent "T" Tesla logo at the top of our phones in the short notification area (Android) and, when shown in its entirety (swipe down from top on Android), shows connected/disconnected/enable bluetooth to use phone as key depending on the state. If I further expand that notification while it shows connected" I have options to open frunk etc without opening the app (tapping the notification itself launches the app).
I can swipe that notification left/right to dismiss it and it goes away but as said, it comes back on the next state change as far as I know.