For the sauce base: Combine all ingredients in a large bowl. Toss to combine and set aside.
For the vegetables: In a large saucepan over medium-low heat, combine carrot, celery, zucchini, peppers, olive oil, pine nuts and the sauce base, and let simmer for 45 minutes.
Meanwhile, bake the eggplant until softened, about 20 minutes. Let cool slightly, then remove peel and mash flesh. Add to vegetables. Simmer until eggplant combines with vegetable sauce, about 5 to 10 minutes. Set aside.
For the pizza: stretch the dough out into a large pizza pan or baking sheet. Spread with the vegetable sauce. Top with mozzarella chunks, chicken, tuna and grated cheese. Bake in the oven at 350 degrees F for 10 minutes, then increase oven temperature to 450 degrees F and bake until bottom crust is brown and crispy, about 8 minutes.
If desired, garnish with cooked tri-color pasta.
A viewer or guest of the show, who may not be a professional cook, provided this recipe. It has not been tested for home use.