Turkey Roulade with Cider Sauce

1 cup dried cranberries

1/2 cup water

1/2 cup diced ( 1/4 inch) celery

1/2 cup finely chopped onion

1 teaspoon finely chopped garlic

2 teaspoons finely chopped fresh sage

1 1/2 teaspoons salt

3/4 teaspoon black pepper

1/2 stick ( 1/4 cup) unsalted butter at room temperature plus

1 tablespoon melted

1/2 lb chicken livers, trimmed

1 large egg

1/4 cup whole milk

1 (4 1/2- to 5-lb) boneless turkey breast half with skin

1/2 cup medium-dry Sherry

1/3 cup soy sauce

2 whole clove s

1 Turkish or 1/2 California bay leaf

1 1/4 cups apple cider (preferably unfiltered)

1 tablespoon cornstarch

Special equipment: kitchen string; heavy-duty foil; an instant-read thermometer