1
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Adjust oven rack to middle position and heat oven to 350°. Whisk cottage cheese, eggs, and 1 cup Parmesan together in medium bowl; set aside. Bring 4 quarts of water to boil in large Dutch oven over high heat. Stir in 1 tablespoon salt and pasta; cook, stirring occasionally, until pasta begins to soften but is not yet cooked through, 5 to 7 minutes. Drain pasta and leave in colander (do not wash Dutch oven).
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2
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Meanwhile, heat oil and garlic in 12-inch skillet over medium heat until garlic is fragrant but not brown, about 2 minutes. Stir in tomato sauce, diced tomatoes, and oregano; simmer until thickened, about 10 minutes. Off heat, stir in ½ cup basil and sugar, then season with salt and pepper.
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3
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Stir cornstarch into heavy cream in small bowl; transfer mixture to now-empty Dutch oven set over medium heat. Bring to simmer and cook until thickened, 3 to 4 minutes. Remove pot from heat and add cottage cheese mixture, 1 cup tomato sauce, and ¾ cup mozzarella, then stir to combine. Add pasta and stir to coat thoroughly with sauce.
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4
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Transfer pasta mixture to 13- by 9-inch baking dish and spread remaining tomato sauce evenly over pasta. Sprinkle remaining ¾ cup mozzarella and remaining 1/2 cup Parmesan over top. Cover baking dish tightly with foil and bake for 30 minutes.
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5
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Remove foil and continue to cook until cheese is bubbling and beginning to brown, about 30 minutes longer. Cool for 20 minutes. Sprinkle with remaining 2 tablespoons basil and serve.
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