Lunch near Lincoln Center
They are, see this page:
Make sure you scroll down.
RESERVATIONS taken and recommended up
to one month in advance to the date.
Mon-Thur: 5:00PM – 11:00PM
Sunday: 5:00PM – 10:00PM
*Schedule dependent on Lincoln Center shows.
Call to confirm availability.
Fri-Sat : Midnight- 1:00AM
However, they only book 1 month in advance. You are trying to book a little bit too early for that window.