The Best Squash Lasagna Recipe

Name: The Best Squash Lasagna Recipe
Ingredients: 1 large kabocha squash or sugar pumpkin (about 2 1/2 pounds), quartered, seeds discarded; 1 tablespoon olive oil; Kosher salt and freshly ground black pepper; 1 large egg; 4 ounces cream cheese; 6 tablespoons unsalted butter, divided; 2 tablespoons maple syrup; 1/4 teaspoon cinnamon; 1/4 teaspoon freshly grated nutmeg, divide; 2 crisp baking apples such as Golden Delicious, peeled, cored, and cut into 1/2-inch dice; 1/4 cup minced fresh sage leaves; 1 package no-boil lasagna noodles (15 noodles); 2 medium cloves garlic, minced (about 2 teaspoons); 2 tablespoons flour; 2 cups whole milk; 12 ounces shredded Gruyère cheese