You can attempt this if you want. However, the PLU works aboout -1 times out of 10.
If your license is still valid (meaning it was never upgraded, cross-graded, or under expired Subscription) then you should be able to just install it on the new workstation and activate it over the Internet. If you need a manual activation you can do so. It's way better than messing with the PLU.
You can use the online method to activate your license here: