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Cook the pasta according to the package directions.
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Meanwhile, in a large saucepan, saute the garlic in the butter over medium heat for 2 minutes. Stir in the flour and salt until blended.
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Gradually add milk. Bring to a boil; cook and stir for 2 minutes or until thickened. Remove from the heat; set aside. Drain the pasta and toss with oil; set aside.
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Add 1 inch of water to a large saucepan; add the broccoli. Bring to a boil. Reduce the heat; cover and simmer for 4 - 5 minutes or until crisp-tender. Drain and rinse with cold water.
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In a 13 x 9 x 2 baking dish coated with nonstick cooking spray, layer 1 cup white sauce, half of the pasta and broccoli and 1/2 cup of cheese. Repeat with the remaining layers.
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Top with the remaining sauce and cheese. Cover and bake at 350 degrees F for 25 - 30 minutes or until heated through.