Hello Michele,
Thank you for using ArcGIS for AutoCAD! I am sorry to hear that your ArcGIS for AutoCAD installation fails. I am not sure the folder listed contains enough detail for us to determine your computer has the correct location or not so, let's go over a few things.
1) Are we using basic AutoCAD or are we using a vertical such as Civil 3D or Map 3D?
2) The current build of ArcGIS for AutoCAD is 410 released May 4, 2022. You can download it for free here:
ArcGIS for AutoCAD is installed into the %ProgramFiles%\Autodesk\ApplicationPlugins folder. If this folder is missing or not accessible by the current user, ArcGIS for AutoCAD cannot be installed. On my computer this location is C:\Program Files\Autodesk\ApplicationPlugins.
3) It sounds like there is a good chance the folder, "ApplicationPlugins", is missing from the machine C:\Program Files\Autodesk\ApplicationPlugins. Please create this folder and then try to install ArcGIS for AutoCAD again.
This should get you up and running, but if not please let us know.