Logitech MX Master 2S mouse not recognized

I have a 2017 era iMac 27" Retina with 3.4 GHz Intel Core i5 processor, 64 GB ram, Radeon Pro 570 4 GB graphics. I have been keeping it running with Mojave 10.14.6 because I wanted to run Adobe CS6 Suite and its worked fine. For the past 4-5 years I've been using the Logitech MX Master 2S mouse without a hitch. Recently I decided that I wanted to set up a dual boot with a more up to date OS so I added a external 1TB SSD and set it up with Ventura. When I first set it up, it didn't automatically see the Logitech mouse so I used an Apple wired mouse model A1152 to do the post boot setup. So for some strange reason, neither OS will recognize the Logitech mouse and I really do prefer it over the Apple mouse. I tried downloading an older version of Logitech's unified software but that didn't seem to work as it was looking for a newer OS.

So I can't understand why the Logitech worked with Mojave a week ago, but now it won't. And I don't know why when I run Ventura it won't work in that OS either. Can anyone clue me in on how to get this set up correctly? I want to be able to switch back and forth between OS versions, but if I have to reboot, will a menu come up asking which OS I want to use?

Thanks in advance for helping old non techie.-Mike