Cheesy Fig and Arugula Pizza Recipe

Name: Cheesy Fig and Arugula Pizza Recipe
Ingredients: ¼ cup warm water (at 110 F); 1 teaspoon granulated sugar; 1 package (2 ¼ teaspoons) active dry yeast; 2 cups all-purpose flour, plus more for dusting the work surface; 1 cup fine semolina flour, plus more for dusting the pizza stone; 1 ½ teaspoons salt; ¼ cup + 8 tablespoons olive oil, divided; 1 cup room-temperature water; 1 large shallot, peeled and thinly sliced; 2 cups shredded mozzarella; 1 cup whole milk ricotta; ½ cup grated Parmesan; 1 cup (about 6 large) fresh black figs, quartered; 2 cups arugula