I don't know about 'BlueTooth' as such, but most Mouse' systems these days, if not using a 'Wired' connection, rely on Wireless
Technology. It's simply a USB 'Dongle', (but not in the sense of a 'dongle' as such), that talks wirelessly with the Mouse. I hate it
when people, (my 'missus'!), has tangled cords and have hanging cords pulling on the Mouse etc... MOST peoples 'complaints' are
to do with wireless mouse 'batteries' etc. However, that should NOT be a problem! Even though such 'mice' have a switch under them
to actually turn them off, they also power-off after so many seconds of non-use. I've got systems where the 'mouse' has been powered
on permanently, and even weeks later after turning the Laptop etc on, it immediately becomes active and all works fine!!!
The only issue is the number of available USB ports, but I have NEVER found that to be a problem, especially with multi-USB port devices.