Fried Rice Pizza with Shiitakes and Edamame

Name: Fried Rice Pizza with Shiitakes and Edamame
Ingredients: 2 1/2 ounces shiitake mushrooms, stemmed, caps thinly sliced; 2 tablespoons soy sauce; 2 tablespoons canola oil; 1/2 teaspoon toasted sesame oil; 3 cups cooked sushi rice; 5 ounces firm tofu, sliced; 2 teaspoons unagi sauce (optional); 1/3 cup shelled edamame; 5 ounces Manchego cheese, shredded (about 1 1/2 cups); 1/2 cup soy bean sprouts; Kosher salt; Togarashi and toasted white and black sesame seeds, for sprinkling; 1 cup large bonito flakes; 6 shiso leaves, thinly sliced; 1/4 cup cilantro leaves