Huevos Tripados Peruvian Tomatoes and Egg Noodles

Name: Huevos Tripados Peruvian Tomatoes and Egg Noodles
Ingredients: 9 large eggs; 1/2 teaspoon coarse sea salt; 1/4 teaspoon ground black pepper; 1/2 cup grated Mexican Manchego cheese; 1/8 cup finely crushed water biscuits; 1 tablespoon clarified butter (see Cook's Note); 9 plum tomatoes; 3 tablespoons olive oil; 1 medium onion, minced; 2 large cloves garlic. minced; 1 teaspoon paprika; 1 teaspoon cayenne pepper; 1 bay leaf; 2 teaspoons ground fennel seeds; 1 tablespoon coarse sea salt; 1 small carrot, grated; 1/2 small bunch fresh basil, leaves only, coarsely chopped