After 15-plus years of weekending in the Hamptons, Prounis had decided it was time to settle in a permanent home with her family, so she and her husband purchased a traditional Cape Cod in Bridgehampton with the intention of tearing it down. But while waiting for the phone to ring and the sound of her contractor’s voice on the other end of the line, summer was fast approaching. So Prounis did what could be done with the house as it was, at least to get through the season. Much to her surprise, “the place really grew on us,” she recalls.