Thanks for this, I will contact you when I go ahead.
Have I misread the beolab 7.2 manual when is says “Mains connections The loudspeaker has two sockets concerning mains supply. The socket marked ~ is for mains supply input (connection from the wall outlet), and the other is a mains supply output to BeoVision 7 “, I thought I might be to power the core from here.
the Core could be connected to the Beolab 7.2 with a power cable with the matching connectors ( two C7 plugs ). It’s the same way the Beovison 7 is connected to power, except you use a Core instead of the TV 😉