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In a pot, bring salted water to a boil, place the bay leaves, rosemary sprig, and pasta.
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Cook until the pasta starts to float and place the broccoli. Cook for additional 4 minutes.
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When al dente, drain and discard the herbs.
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In a saucepan over medium heat, pour the milk, garlic, salt, butter, and cheeses. Stir until getting a cheesy sauce.
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Transfer the pasta to serving bowls, and pour the cheese sauce over.
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Serve and enjoy