Spacemouse - can you choose bluetooth or 2.4 when you want?

[billswartz]

I run two computers at home. Sometimes I'm upstairs on my PC (bluetooth connection) and other times I'm downstairs on my mac (2.4 connection). However, when I bring the Space Mouse downstairs it automatically connects upstairs on bluetooth. Is there a way to force the mouse into 2.4 and ignore the bluetooth? No, i don't want to turn off bluetooth on my PC, no I don't want to "forget" the bluetooth connection on the PC. Can I force the connection I want as priority? Currently plugging in USB-C on mac and that is working but I'd rather use wireless.

Thanks in advance.