In that case, no need to get the key cut. If its the hinge part thats broken, you have a few choices. Replace the hinge (i have one you can have), get a new switchblade half and swap the blade from your current key into the replacement, or buy a complete remote and swap over the key. Just get the part number from your remote and make sure you get the same one from e-bay.
The cheapest solution is to simply replace the hinge. Remove the VW emblem and there is a screw behind it. Remove the screw and separate the 2 halves of the case and you can swap in a new hinge and transfer your working blade to the new hinge. No need to worry about programming the immobilizer because you are keeping your own remote. If you want to get it done ASAP, I am home Sunday and can get you fixed up in about 10 minutes.
If you want to upgrade to a new remote, and you have a remote with an oval key pad, your part number should be 1J0 959 753 F.
If you want to upgrade to a newer style remote with the rectangular keypad, the part number is 1J0 959 753 T.
The remote with a rectangle pad for immo III cars is 1J0 959 753 AM and this one WILL NOT WORK with your car.
I would recommend getting a used OEM remote instead of a new one as the new ones are cheaper copies.