For the Romaine Lettuce Salad
Pull away and discard any damaged outer leaves from the heads of lettuce, then rinse them with cold water. Cut each head lengthwise to form 2 flat ½-inch-thick slices. Set the slices on a cutting board and trim away as much core as possible without breaking them apart.
In a small bowl, stir together the remaining hearts of palm brunoise, the coconut oil, the lime juice, and the salt. Reserve, chilled, for dressing the lettuce.