FLEX XFE polishing machine battery or power supply

Servus together, I want to get a polishing machine in the foreseeable future. Manufacturers and models are already known. It is to become the Flex XFE 7-15 eccentric. Only what I am still thinking about is whether the machine should be powered by a battery or a power supply. Before the question comes up, I have connections in my illuminated underground garage for a power-operated machine, but of course it would be better/lighter with a battery. There is someone here who can express his opinion about this. The conditions on the spot are outside. Thank you MFG