Christmas and Her Warcraft III

[Christmas]

Well, I got a new PC and I copied my copy of my Warcraft III to the new one. Now the problem is that I got the Discs but lost the CD KEY.
When I tried to patch it, it give an error message.


ERROR: unable to apply patch to file 'C:\Program Files\Warcraft III\game.dll'

ERROR: unable to apply patch to file 'C:\Program Files\Warcraft III\Storm.dll'

ERROR: unable to apply patch to file 'C:\Program Files\Warcraft III\war3.exe'


So, is there really NO other way to fix this rather then reinstalling the whole game again since I lost the CD KEY and I have to BUY the game again just for the sake of the CD KEY?

PS: K, I lost the cover, manual EVERYTHING except the discs.