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The Scene – Cinegrill is a bustling, pink neon-rimmed room with red banquettes and a convivial atmosphere, located in the bottom of a downtown apartment building. A hearty greeting at the door, red-and-white checkerboard tablecloths and paper menus seem to suit the clientele just fine. So does the singer at the electric piano, who makes old standards sparkle. Never mind the heaping portions, best of all is the service; they treat you like family. – – The Food – You'll find diner classics: hot corned beef, grilled hamburger steak and shish kebab on rice. You…