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Preheat the oven to 375°F (190°C). Lightly grease a 9×13-inch baking dish.
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Cook the sausage in a skillet over medium heat until browned and fully cooked. Drain excess fat.
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Sauté the vegetables by adding the onion and bell pepper to the sausage. Cook for 3–4 minutes until slightly softened.
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Layer the base by spreading the hash browns evenly in the prepared baking dish. Drizzle with melted butter.
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Add the filling by spooning the sausage and vegetable mixture over the hash browns. Sprinkle evenly with shredded cheese.
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Whisk the eggs in a bowl with milk, salt, pepper, garlic powder, and paprika.
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Pour the egg mixture evenly over the entire dish.
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Bake uncovered for 40–45 minutes, or until the center is set and the top is lightly golden.
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Rest for 5 minutes, then slice and serve. Garnish if desired.