Creamy Fettuccine Alfredo with Broccoli

2 cups broccoli

1 tablespoon salt

1 pound fettuccine pasta

1 (16 ounce) jar four-cheese Alfredo sauce (such as Classico®)

2 tablespoons butter

1 tablespoon ground black pepper (optional)

3 tablespoons grated Parmesan cheese (such as Kraft®), or more to taste

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