You can tell it’s not the final version of the song, especially with the reference to Minnesota in it. The production quality isn’t the best but it’s a gift from Gaga, so how can we not accept it? She laughs and seems to be having a good time during the song.
What more can you ask for? She wrote this on the Soundcloud page for it.
“So to give you a little background to the creation of this song. I wrote it in Minnesota after the Monster Ball on the tour bus. We recorded it in one shot. Fernando on guitar, Paul on Drum Machine. I wrote, sang it, and freestyled the last minute + a half of the song.” - Lady Gaga