Veggie Grilled Pizza

Ingredients     1 cup warm water (100° to 110°), divided     10 ounce bread flour (about 2 cups plus 2 tablespoons)     1 package dry yeast (about 2 1/4 teaspoons)     10 teaspoon olive oil, divided     1 teaspoon kosher salt, divided     Cooking spray     2 tablespoons yellow cornmeal     12 ounces baby eggplant, cut crosswise into 1-inch-thick slices     1 medium zucchini, cut crosswise into 1-inch-thick slices     1 large red bell pepper, quartered and seeded     3 garlic cloves, minced     2/3 cup Basic Pizza Sauce     1/4 teaspoon freshly ground black pepper     1 cup (4 ounces) shredded fontina cheese     1/4 cup small mint leaves     2 teaspoons fresh thyme leaves Preparation     1. Pour 3/4 cup warm water in the bowl of a stand mixer with dough hook attached. Weigh or lightly spoon flour into dry measuring cups and spoons; level with a knife. Add flour to 3/4 cup water; mix until combined. Cover and let stand 20 minutes. Combine remaining 1/4 cup water and yeast in a small bowl; let stand 5 minutes or until bubbly. Add yeast mixture, 4 teaspoons oil, and 1/2 teaspoon salt to flour mixture; mix 5 minutes or until a soft dough forms. Place dough in a large bowl coated with cooking spray; cover surface of dough with plastic wrap lightly coated with cooking spray. Refrigerate 24 hours.     2. Prepare grill to high.     3. Remove dough from refrigerator. Let stand, covered, 1 hour or until dough comes to room temperature. Punch dough down. Press dough out to a 12-inch oval on a lightly floured baking sheet sprinkled with cornmeal. Crimp edges to form a 1/2-inch border. Cover dough loosely with plastic wrap.     4. Brush eggplant, zucchini, and bell pepper with remaining 2 tablespoons oil. Grill eggplant 4 minutes on each side or until tender; place in a bowl. Grill zucchini 3 minutes on each side or until tender; add to eggplant. Place pepper quarters, skin side down, on grill rack; grill 6 minutes or until blistered. Place peppers in a zip-top plastic bag; seal. Let stand 10 minutes. Peel peppers; add to vegetable mixture. Coarsely chop vegetables. Add garlic to vegetables; toss to combine.     5. Place pizza dough, cornmeal side up, on grill rack coated with cooking spray, and grill for 4 minutes or until blistered. Turn dough over; grill 3 minutes. Remove from grill. Spread Basic Pizza Sauce evenly over top side of crust, leaving a 1/2-inch border. Arrange vegetable mixture evenly over sauce; sprinkle evenly with remaining 1/2 teaspoon salt and black pepper. Top with cheese. Return pizza to grill rack, and grill for 4 minutes or until thoroughly cooked. Cut pizza into 10 pieces; sprinkle with mint and thyme.