I have my method on tape, but it's going to take some time before it's edited.

I use my trusty triangular shaped x-acto blade to "pop" a few of the threads on one end of the tag. When the tag lifts away from the piece, I CAREFULLY go to the underside and cut the threads one by one until it's off. You have to be careful, but it's quick, and I have never so much as nicked the lace.