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EAST HAMPTON, N.Y. >> Ina Garten’s house, on a side street in the stately, manicured village of East Hampton, was just the way you’d want it to be on a sunny morning in October. By which I mean the lawn was a beautiful rumpled green, and the garden was full of cherry tomatoes, and she was wearing a loose button-down shirt and smiling as she brought me coffee in a hotel-style silver carafe. All appeared just as it does on her television show, “Barefoot Contessa,” that has been shot here since 2002.