Japanese Fried Rice

Name: Japanese Fried Rice
Ingredients: ¼ cup low-sodium soy sauce; 1 tablespoon plus 1 teaspoon sake; 2 tablespoons butter, room temperature; 3 cloves garlic, minced (1 tablespoon); 2 teaspoons safflower oil; 3 large eggs; 1 pound chicken breasts, cut in 1 ½ to 2 inch strips, ½-inch wide; 1 small white onion, small chopped (1 cup); 1 carrot, cut in small pieces (½ cup); 1 scallion, white and pale-green parts chopped (about 2 tablespoons), dark-green tops chopped and reserved for garnish (optional); 4 cups day-old cooked long grain rice; Coarse salt and freshly ground black pepper