Three-Cheese Baked Spaghetti

Name: Three-Cheese Baked Spaghetti
Prep time: 45 min
Cook time: 35 min
Total time: 1 h 20 min
Cuisine: European, American, Italian, Mediterranean
Ingredients: 1 batch (8 C) Homemade Meat Sauce; 1 lb spaghetti; 2 large eggs, room temperature; 4 C Mozzarella, grated or thinly sliced; 1 C aged Parmesan, grated; 1/4 C Pecorino Romano, grated; 3 tbsp olive oil; 1 tsp garlic salt; 1/2 tsp cracked black pepper; 2 C whole milk; 1/2 C aged Parmesan, grated; 1/4 C Pecorino Romano, grated; 2 tbsp unsalted butter; 2 tbsp all-purpose flour; 1/4 tsp kosher salt, to taste; 1/16 tsp nutmeg (a pinch); 1 bay leaf