Question on backing up a cd

[Diffuse]

Hey. I'm trying to create a backup cd for Fifa 2002 (not world cup 2002), yet I know I cannot create a perfect backup, THUS I would like to make a copy of the CD with the fixed .EXE already on the CD. Do I just copy the original CD onto my HD somewhere, then make a new directory anywhere on the CD (lets say FIXED-EXE), add the file, then burn it with the same label? This should technically work correctly, should it not?