Vegan Wild Mushroom Pizza

Name: Vegan Wild Mushroom Pizza
Ingredients: 2 (1-pound) balls fresh prepared pizza dough; All-purpose flour, for dusting; 8 ounces silken tofu (about 1 cup) (from 1 [16-oz.] package); ½ c vegan mayonnaise; 1 tablespoon chopped fresh dill; 2 garlic cloves, chopped (about 1 tablespoon); ¾ teaspoon garlic powder; ¾ teaspoon rice vinegar; ¾ teaspoon red wine vinegar; ¾ teaspoon kosher salt; ½ teaspoon onion powder; 1 tablespoon plant-based salted butter (such as Miyoko's Creamery European Style Cultured Vegan Butter); 2 tablespoon finely chopped shallot; 1 garlic clove, finely chopped (about 1 teaspoon); 1 (8-ounce) pkg. mixed fresh wild mushrooms, broken into small clusters or cut lengthwise into 1/4-inch-thick slices; 1 teaspoon chopped fresh thyme; 1 teaspoon kosher salt; ½ teaspoon black pepper; 6 ounces vegan mozzarella shreds (such as Numu) (about 1 1/2 cups); 3 ounces fresh brussels sprouts (about 5 medium brussels sprouts), trimmed and shaved lengthwise using a chef's knife (about 1 1/3 cups); White truffle oil