So on the Mac, the normal MX Master 3 works quite normally. You can connect it via Bluetooth as well as via the stick that comes with it. You are asked in the Logi Option app how you want to connect it.

However, I don't know the difference between the MX Master 3 and the Mac. The normal one works perfectly with the Mac.

Addendum: on my Mac, the MX Master 3 is connected via Bluetooth, on the PC via USB dongle (Bluetooth deactivated by the company).

I have the normal one (without Mac) on a Windows 10 PC and on an iMac. It works without any problems (the switch is at the bottom of the mouse). However, the Logitech software with which you configure the additional buttons and gestures is not stable on the Mac. But it also works like this