Anyone know how to save InCopy changes to an assignment so that it does not affect all other assignments?

I.e. I have flyer templates that I'd like to allow in copy users to change portions of the text for their specific purposes but I'd like them to not update the master file when they do this (so that that master file keeps its original text). I've tried saving the file under a new name and place but because they are all linked to the same assignment folder, it updates all documents instead of the new file.

Anyone know the answer? Thanks in advance!