My Manjaro install doesn't detect my new MxMaster mouse on Bluetooth

I recently bought a MxMaster 3 from Logitech and I cannot manage to connect it on Bluetooth to my laptop on Manjaro, It works well on Windows, but when I put the mouse in pair mode, It doesn’t appear in my Bluetooth devices manager…
I also tried to connect it on a USB Manjaro live boot and it worked…

Hello,
I’ve a MxMaster 2S.
(Package contents: Mouse, USB Receiver, USB-C charging cable)

$ journalctl -b | grep -i logitech
kernel: input: Logitech USB Receiver …
kernel: input: Logitech USB Receiver Mouse …
kernel: input: Logitech MX Master 2S …

Connected via receiver it is not a Bluetooth device.
Fortunately there is a Linux utility for this sort of mouse:

Manjaro Add/Remove Software
Solaar 1.0.4-2

(The mouse need Linux Kernel Version 5 upwards)