I already had uninstalled the Intel ®Computing Improvement Program, it isn't listed on the Control Panel/Programs anymore. In fact I tried to install it again but also with no luck because it says that there is a newer version already installed.
When I install the latest Intel DSA version from your link above I keep stuck on the same error - see image.
I see this error happen at least to 3 other users on the forum but the resolution is always with private messages. Intel should take this as a generic problem, not specific to a user/machine.
Any help would be very much appreciated
After going back and forward with installing and uninstalling the Intel DSA and the other related tools, I finally managed to install the latest Intel DSA version (184.108.40.206).
For posterity and to share with other forum users that might have the same situation, I downloaded the Intel® Driver & Support Assistant Uninstaller - https://downloadcenter.intel.com/download/28181/Intel-Driver-Support-Assistant-Uninstaller, run it, reboot the system and then I was able to install the latest Intel DSA version without errors and it's again fully functional.