Read again what I posted above:
The Director's Cut includes an additional chapter of the story, seen from Nico's perspective and the original version of Broken Sword: Shadow of the Templars a.k.a. Broken Sword: Circle of Blood.
The Director's Cut includes Shadow of the Templars/Circle of Blood (the game had two different names depending upon whether it was the North American release or the European release. Shadow of the Templars/Circle of Blood is the same game.
In other words, you get the remastered game as well as the original game.