Heat 2 tablespoons oil and garlic in 10-inch skillet over medium-high heat and cook, stirring frequently, until garlic is lightly toasted, 2 to 3 minutes. Stir in paprika and cook until darkened in color and fragrant, 15 to 30 seconds. Stir in tomatoes and thyme; cook until tomato pieces lose their shape to form chunky sauce, about 10 minutes, stirring in peppers after 5 minutes. Stir in salt, pepper, and sugar to taste. Toss sauce and remaining tablespoon oil with pasta and serve, sprinkling cheese over individual bowls.

Makes enough to sauce 1 pound of pasta