Final answer:
Paradise Garage is the New York nightclub that took DJing to the next level after The Gallery, becoming famous for enhancing the disco experience and for its resident DJ, Larry Levan.
Step-by-step explanation:
The New York disco nightclub that famously took things to the next level after "The Gallery" pioneered the use of dual turntables by DJs was Paradise Garage. Not listed among the options provided, but notable for its impact is The Loft, which was also instrumental in the development of DJ culture in New York. However, in the list provided, it was Paradise Garage that stood out as the nightclub that enhanced and popularized the disco experience. Unlike Studio 54, which was known for its celebrity presence, Paradise Garage focused on music and the club experience, with resident DJ Larry Levan becoming a legendary figure for his ability to create a seamless and ongoing musical journey through his DJing.