All I can say is that my MS mobile mouse, 2nd screenshot, the middle click button does open a new tab.
I'm using driver v 6.1 and you are using v 10.0 and yet the date is the same sometime in 2006.
So far I only see 3rd party sites to download HID-compliant mouse drivers. I don't trust most 3rd party sites.
Do you have access to a computer that is not running Windows 10? If so, try the mouse on there and see if it works.
Also check the version of HID-compliant mouse driver it is using.