Hey, not sure if you’ve already done the audition yet but I’ve literally just done mine. Honestly don’t be nervous and don’t overthink it. You’ve already gotten into nyt, this audition isn’t about being judged on whether or not you’re good or not, they already know you are and that’s why they accepted you. As for monologues, it honestly doesn’t matter, as long as you choose one that you feel best represents you as an actor and is one that you enjoy. If that happens to be a classical then do that, but if it doesn’t then that’s fine too. Try not to choose one that you think would “look good” and choose the one that you love doing.
Again though, I know it’s easier said then done but try not to overthink these particular auditions, they’re literally just about seeing what kind of actor you are in order for them to know what kind of projects you’d be best suited for.