Batman: Arkham Origins Blackgate - Deluxe Edition is it an add or or a remake ?

relative of mine just 100%'d arkham asylum and he wants the other batman games and I came across arkham origins while seeing what else they made but theres 2 versions arkham origins and this one

If its an add on ill get both but if its a deluxe edition like the original game and add ons ill get the deluxe … thanks