Position a rack in the upper third of the oven and preheat to 425 degrees F. Generously brush a large skillet with butter, then rub with the garlic. Heat the skillet over medium-high heat. Add half of the potatoes, sprinkle with 3/4 teaspoon salt, and pepper to taste, then arrange the remaining potatoes on top. Sprinkle with 3/4 teaspoon salt, and pepper to taste. Pour the broth and milk over the potatoes, then add the nutmeg and bay leaves; simmer 3 minutes.