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The folder in My Games shouldn't interfere with the installation. After all, there's an uninstallation mode that saves the game files. I forgot to check the registry yesterday. Most likely, the registry entry was deleted, but the folder in "Uninstall Information" or "InstallShield Installation Information" remained.
I don't understand how a licensed game can install incorrectly, requiring reinstallation. Perhaps it was uninstalled incorrectly as well.