its not the same dog, Rumpus and Lava died. but completely off the topic of the one being used in that movie, there were also Luna and Soleil that were used in other gaga videos after Rumpus died, i believe they were Rumpus and Lava's children, but I may be wrong, i remember reading about this somewhere, but i could be wrong about that (PS: sorry for getting off topic but it is not any of the dogs used in Gaga's videos, there are lots of Great Danes in the world)