Preheat the oven to 350°F. Lightly spray a 9 x 13-inch baking dish with cooking spray. Set aside.
Cook the egg noodles in salted water per the package instructions until al dente. Drain well.
In a stand blender, whip together the half & half, soup, cream cheese, 3 Tbsp Parmesan cheese, garlic salt, mustard, nutmeg and black pepper until smooth.
Reserve around 1 cup of cooked noodles, set aside.
On the bottom of the dish layer ½ noodles, ½ chicken. ½ ham. Drizzle with ⅓ sauce and top with ⅓ Swiss cheese. Repeat. Top with the reserved 1 cup noodles, with ⅓ sauce and sprinkle with final ⅓ shredded cheese .
In a small bowl, toss together the bread crumbs, 1 Tbsp Parmesan cheese and melted butter. Sprinkle on top.
Bake for 35-40 minutes until bubbly. Rest for 5 minutes on the counter and serve.