Heat 2 tablespoons olive oil in a large pot over medium heat. Add the onion and pinches of salt and pepper and cook until translucent, about 5 minutes.Add the garlic, fennel, carrots, and thyme leaves. Stir and cook until the carrots begin to soften, about 10 minutes.Add the balsamic vinegar, red peppers, beans, tomato paste, broth, and ½ teaspoon salt. Simmer until the carrots are tender, 15 to 20 minutes.Add the simmered soup to a high-speed blender with the remaining 2 tablespoons olive oil and puree until smooth. Season with more salt and pepper, to taste. If you would like more punch, add a few more drops of balsamic, to taste. If you would like a little heat, add ½ teaspoon red pepper flakes.Serve with generous drizzles of olive oil, desired garnishes, and warm baguette.