Chicken Cordon Bleu Bake

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2 packages (6 ounces each) reduced-sodium stuffing mix

1 can (10-¾ ounces) condensed cream of chicken soup, undiluted

1 cup 2% milk

8 cups cubed cooked chicken

½ teaspoon pepper

¾ pound sliced deli ham, cut into 1-inch strips

1 cup shredded Swiss cheese

3 cups shredded cheddar cheese

Preheat oven to 350°. Prepare stuffing mixes according to package directions. Meanwhile, whisk together soup and milk.
Toss chicken with pepper; divide between 2 greased 13x9-in. baking dishes. Layer with ham, Swiss cheese, 1 cup cheddar cheese, soup mixture and stuffing. Sprinkle with remaining cheddar cheese.
Bake, covered, 30 minutes. Uncover; bake until cheese is melted, 10-15 minutes.