3 weeks wouldn't be too bad, but assuming the belt doesn't use a piece you're going to end up at a rather time consuming 12 weeks for the entire left hand side to be done. So, you're geared just in time for the next Alexander raid and you'll replace it almost immediately, doesn't seem like the greatest idea to me to be quite honest. I honestly don't care about ilvls myself, just want it to be dyeable and soon as possible.