What's the point of having a game on-disc if the DLC isn't tied to it? Solve that problem with incomprehensible glyphs and arcane texts from far away lands!
Be warned that, while all the voicework in BB is in English, *ALL* the text is in Japanese. And it doesn't seem to be willing to import a save from the base version of the game; not sure if that's because of the different regions or something related to the disc.
Also, make sure you delete the old Bloodborne install, if you need to make drive space for the new one.
(I actually got and filmed this last week, but the depression monster is being rather bothersome; sorry for anyone who was waiting.)