Question: I'm Old Fashioned was premiered on June 16, 1983 at the Theater that is part of what larger center?
Sentence (from "David H. Koch Theater"): Originally named the New York State Theater, the venue has been home to the New York City Ballet since its opening in 1964, the secondary venue for the American Ballet Theatre in the fall, and served as home to the New York City Opera from 1964 to 2011.
Relevant evidence: No