Our installer only placed ONE icon on the Desktop, and the reason it has placed only one icon, is so you won't have to wonder which is the right file to start. The right file to start, is the one pointed by the icon, like any other Windows programs out there.
The second icon, which according to your report, points to the same file, seems like a duplicate, and this you likely created yourself, maybe inadvertently so, you can safely remove it, since removing a shortcut icon doesn't remove the file its linked to.
Nothing in the Addon Manager folder is redundant, and the Live Update will always keep that folder updated, with all the required files.
- If a file is there, it's because it's required.
- If a file is not required anymore, the next Live Update will remove it.
- If you remove a file you are not supposed to remove, the next Live Update will restore it (unless, of course, you remove the updater *itself*)
- The Desktop icon is there precisely for the reason so you don't have to wonder which program you must start. Couatl_updater.exe, of course.
So, basically, don't touch anything there. There are 2 .exe, because the first Couatl_updater.exe, which is the one you'll always start if you use the program as documented ( from the Desktop icon ), is there *just* to download the latest Couatl_updater2.exe, which is what will do the "real" update job. So, this way, the updater can "update itself".
It just works, no need to mess around.