Magic Mouse not recognizing scrolling or gestures and missing magic mouse settings

I bought myself a Magic Mouse 2, and when I connect it to my Mac, the right and left clicks work fine. However, all other gestures like tapping, swiping, and scrolling don’t work at all.

There was a thread about it here before, but it didn’t find a solution: magic mouse software not installed - Apple Community

When I open the system settings and go to the mouse settings, the typical Magic Mouse view is missing, and you only have the standard settings available for any mouse, and this happens not only on one of my Macs, but on two.

One is on a 27-inch iMac from 2009 with macOS Sierra version 10.12.6

and the other is on a MacBook Pro Retina, 15-inch, Late 2013 with macOS Big Sur 11.7.10.

Resetting the bluetooth module, repairing and charging didn’t work, on my ipad though scrolling works

Can someone help me?