My initial though would be to say it's a 1995-1996 Impala SS, but I've seen in many cases how regular Caprices have been "upfitted" or "rebadged" to appear as Impala SS's.
That is indeed a popular thing to do. I took a look at the music video and the interior does have the seats from the SS. But I would also cast doubt on whether this is a real SS, especially considering the (ugly) custom paint job and rims. But since we really don't have any proof, I suppose we can leave it as Impala SS.