MyPeugeot App (iOS): No Bluetooth connection to vehicle – no e-Remote Control activation

Hello together, I picked up my 3008 Hybrid4 from the dealer on Saturday, was a demonstration car. Since then I have tried to pair the MyPeugeot app with the vehicle, especially in order to be able to use the e-remote control function. The activation for the latter fails at the last step, i.e. the comparison with the vehicle key. I suppose that is because the app itself cannot establish a Bluetooth connection to the vehicle. I see no data at all (kilometre level etc.) of the car, which would probably have to be the case otherwise. The vehicle had its first registration in January 2020, my iOS version is 13.6.1 (iPhone Xs). The iPhone itself is of course connected to the car via Bluetooth, which I see in the display. I also took into account the indication that the app should be in the foreground when you start the engine…but nothing does. Does anyone have an idea? Can it be that the car was perhaps already connected to a mobile phone and therefore rejects further connections for the app? In the user profile of the on-board computer is free at “private sphere” – because I actually understand the point of location?