don't base your flow on whether the other computer is on the same network. Each of the computers we want has already been assigned to a number on the mx keys and mx master 3. when we move the mouse to the edge, just switch the mx keys and mx master3 to that assigned number. because currently, we are manually switching both logitech devices to the other computer and it works regardless of which network the computer belongs to. and what if i want the other computer to be temporarily disconnected from my wifi but still want to work on that computer using my 2 logitech devices?