Grilled Pesto Pizza with Marinated Mozzarella and Tomatoes

Name: Grilled Pesto Pizza with Marinated Mozzarella and Tomatoes
Ingredients: 6 cups fresh basil leaves; 2 cups baby arugula; 1 cup grated Parmesan; 1/2 cup sliced almonds; 2 large cloves garlic, peeled; Kosher salt; Two 8-ounce containers marinated mozzarella balls, cut in half, plus 1 cup oil from the mozzarella (supplement with olive oil if needed); 2 tablespoons olive oil, plus for brushing; 1 1/2 pounds store bought pizza dough, at room temperature and divided into 3 balls; 1 1/2 pounds assorted color cherry tomatoes, sliced in half