Make a “Big Night” Timpano for Your Next Dinner Party

Name: Make a “Big Night” Timpano for Your Next Dinner Party
Ingredients: 4 cups (about 1 pound, 1 ounce) all-purpose flour , plus more for dusting; 4 large eggs , lightly beaten; 3 tablespoons tap water; 2 tablespoons olive oil; 2 teaspoons kosher salt; 1/4 cup extra-virgin olive oil; 6 large garlic cloves , thinly sliced (about 1/3 cup); 1/4 cup tomato paste (from 1 [6-ounce] can); 2 (28-ounce) cans whole peeled San Marzano plum tomatoes; 2 cups tap water; 2 1/2 teaspoons kosher salt; 1 teaspoon black pepper; 2 (6-inch) basil sprigs (about 1/4 ounce); 2 large (1 pound each) eggplants , cut crosswise into 1/2-inch-thick rounds (about 20 slices); 4 1/2 teaspoons kosher salt , divided; 1 tablespoon olive oil; 1/2 teaspoon black pepper; 2 pounds uncooked ziti; 1 (5-ounce) package baby spinach; 2 tablespoons (1 ounce) unsalted butter , plus more for greasing pan; 1 pound pre-grated pecorino Romano cheese (about 4 cups), plus more for serving; 6 hard-cooked large eggs , peeled and halved lengthwise; 1 pound sliced provolone cheese (24 slices); 1 large garlic clove , grated on a Microplane grater (about 1/2 teaspoon); 2 tablespoons finely chopped fresh flat-leaf parsley