To understand the history of the Fat Black Pussycat is to follow a game of Village-tavern musical chairs. The original bar — where Bob Dylan allegedly wrote “Blowin’ in the Wind” — was a folkie institution located at present-day Panchito’s. (The Pussycat’s sign still hangs above the Minetta Street exit.) Now, owner Noam Dworman, whose family also owns the Comedy Cellar and Olive Tree Café, has brought FBP to the former Kettle of Fish site. The layout offers a room for every mood: A large, classic wood pub combines mini, recessed TVs in every booth with billiards; a shadowy Moroccan lounge has well-cushioned sofas and red-velvet thrones; a downstairs club (a.k.a. the Village Underground) features comedy acts; there’s even an upstairs VIP area suitable for small private parties.