Basilisk V3 Pro - Bluetooth Multi Pairing?

Hi, Just a question, currently have a Basilisk V3 pro to go with Deathstalker V2 Pro TKL. The Deathstalker can pair to 3 bluetooth devices. I noticed in my Basilisk that in order to connect to other bluetooth device I sometimes have to unpair it then re-add to have a successful connection. Is there a way to just highlight the mouse and click on the connect option in the bluetooth settings? (like in the other bluetooth device that I have). We have 4 laptops at home (2 personal and 2 for work) and hoping to have an easy way to switch between the 4 devices like the deathstalker v2 pro tkl. (Bluietooth setting on mine only has the "Remove device" option. Thanks :)