I believe I am correct in saying that the only time you get two icons is if you have the external binary morphs ticked.  With external binary morphs un-ticked you get one icon.  Not sure why Windows will not let you delete unless it is protected.

Despite the fact that many have no problems with the latest versions of Poser I have not used external binary morphs since Poser 7 as I had the problem you have seen here.   

 

 

I use Poser 13 on Windows 11 - For Scene set up I use a Geekcom A5 -  Ryzen 9 5900HX, with 64 gig ram and 3 TB  storage, mini PC with final rendering done on normal sized desktop using an AMD Ryzen Threadipper 1950X CPU, Corsair Hydro H100i CPU cooler, 3XS EVGA GTX 1080i SC with 11g Ram, 4 X 16gig Corsair DDR4 Ram and a Corsair RM 100 PSU .   The desktop is in a remote location with rendering done via Queue Manager which gives me a clearer desktop and quieter computer room.