Seems like you do not have administrator permissions.
Because it cannot write the files to the directory.
If you run the installer do you get some kind of message User account Control like in the picture below?
Make sure if you use a antivirus it doesn’t block the installation, UAC.Try to install the patch manually in the link below.
For the 64bit there is a 4gb patch, but since the 32bit system only support 4gb itself you can’t use the full 4 GB for the game.
Not saying it will cause any problems but it could cause crashes on certain maps and custom maps.
https://kaneswrath.com/nextcloud/index.php/s/bbp6QQfjkb3wcsQExtract the files in Command & Conquer 3 Kane’s Wrath folder like in picture below.
