Release Date: 07/07/2005
Developer: Alfa System
Publisher: SCEI
At the time of this post, item does not appear in core.
Also no, the game is NOT titled “Gaudy Dance Festival”. That’s what the kanji on the box says if you translate it at face value sure - however, the furigana is right there on the box.
It’s hard to see without a higher quality scan of the cover but, I’m holding a physical copy, and it says “Kenran Butōsai”. It has the same setting and characters as an anime by the exact same name. The story is unrelated though.