Let me see now...

You bought a Harmony remote. You had a problem with it so Logitech is replacing it for free and you do not have to return the defective remote. They are doing you a huge favor and you want to turn around and cheat them, and have the audacity to come here so we can help you do it. Since you obviously have no sense of right and wrong, why not try to sell the broken remote on e-bay? Or is that different because you would be cheating an actual person and not a faceless corporation?