I bought a Logitch mechanical keyboard, I asked in the shop if there was a USB bluetooth device, so I also could connect my MX 25 mouse. Yes there is was the answer. BUT. You have provided a bluetooth device, which can only connect to the keyboard.
I have bluetooth USB dongle on my stationairy computer, but it does not work after restart, so everty time I start the computer I will have to fiddle with the keyboard into the bluetooth setup, remove the mouse and connect it again.
Why do you make things so difficult and unhandy. Why can't you just supply a unified Logitech receiver to every customer?