I did some reading and it is not universally agreed that the sample was contaminated. Why do you object to another C14 test? Are you afraid that it will also show a medieval genesis for the Shroud?
I don’t have a problem with it. The fact is the first test was done by people who knew about as much about its history as you apparently do, so they went to the best possible place on the Shroud to find it a medieval forgery, though of course there is no technology in existence even today that could make such a forgery, but nevermind that—the matter is settled, right?