n a Large Pot, heat ¼ cup of the oil over a medium-high flame. When almost smoking, add the onion, carrot, and half of the garlic and sauté until the onion is soft, about 5 minutes. Add the tomatoes with their juice, clam juice, wine, ½ teaspoon of salt, and ¼ teaspoon of black pepper. Bring to a boil and simmer uncovered over medium heat until the liquid reduces and the tomatoes break down, about 10 minutes. Remove from the heat and let cool slightly. Carefully transfer the tomato mixture to the bowl of a food processor and purée until smooth, adding water a couple of tablespoons at a time to form a broth consistency. (The tomato broth can be made 1 day ahead. Cool, then cover and refrigerate. Bring the tomato broth to a simmer before continuing.)