There is one final 4th Body Core in the NorthEast corner of the map (top right). Start from the opera house phone fast travel and head over to the northeast corner and you will see it very easily at the dead end and of a street surrounded by enemies. Sorry I missed this one, I found 3 and everywhere I looked online said there were only 3 until much later I got a couple comments.
There's one more in the eastern end of the Buried Ruins area. From the Opera House, go north east then follow the path east up the hill all the way until you see a fence. The body core is near there.
Thanks. I knew there was one extra of each per game from all my research when I found these according to everyone there were only 3. One other person said that too…