When you first copy a screen it gives you 3 options in the last step. You can create no tab links, create a new tab link, or replace tab links. By replacing tab links it will replace tab links (as well as go to screen and show popup screen) that used to point to the specified screen and now point to this new screen.
In your case, since you are doing it after that fact, it might seem like you are stuck and have missed the boat.
BUT - I think if you just copy your new screen, like FieldService_AddEditWorkOrderHandcrafted, and copy it with the name FieldService_AddEditWorkOrderHandcraftedLIVE, you'll get the same options again. I'm pretty sure that if you chose to replace tab links, but instead of replacing tab links for FieldService_AddEditWorkOrderHandcrafted, replace them for the original FieldService_AddEditWorkOrder, you'll be in business.
Yes, we need to do a better job at this. We have discussed this internally. It is admittedly not intuitive.
Let us know if that works for you.