You don't need to be a member, but you'll feel like one at Chef's Table, tucked inside the private Astor Club. There are just ten seats a night, so reservations are a must for this tasting menu experience where all guests are seated and served together. Chef Trevor Teich is a fine dining veteran, and befitting the setting, the ingredients lean luxe. A single oyster topped with champagne espuma and a quenelle of cucumber sorbet makes for a refreshing opener. A porcini mushroom tart filled with duxelles and caviar is earthy and savory; poached Novia Scotia lobster tail with a tableside pour of a vin jaune beurre blanc is tender and flavorful. Finally, mandarin sorbet over vermouth gelee is crowned with a Campari and champagne foam for a delightful dessert.