I have heard a few times that "Chef's Table is not included" in any of the dining packages. However the RC site states:
For ships with these venues, Teppanyaki/Izumi Hibachi is included, with a $15 surcharge, and Chef's Table is included, with a $49.99 surcharge. These will be charged once onboard.
This leads to the confusion of the question and answer. If the Chef's table is included with a surcharge (included would count against the 3 nights) or if the Chef's table is available at a discounted rate in addition to the 3 nights.