Zucchini Noodles with Roasted Tomatoes and Cream Sauce

Name: Zucchini Noodles with Roasted Tomatoes and Cream Sauce
Ingredients: 3 pounds zucchini or yellow summer squash , trimmed; 1 pound cherry tomatoes; 1 shallot , sliced thin; 5 garlic cloves , minced; 3 tablespoons extra-virgin olive oil , divided; 1 tablespoon tomato paste; 1 teaspoon dried oregano; ¼ teaspoon red pepper flakes; 1½ teaspoons table salt , divided; ¾ teaspoon pepper , divided; 1 cup heavy cream; 2 tablespoons unsalted butter; 1½ ounces Parmesan cheese , grated (¾ cup); ¼ cup fresh basil leaves , torn into ½-inch pieces