Stuffing Fried Rice

Name: Stuffing Fried Rice
Ingredients: 4 cups cooled cooked short-grain white rice (from 1 1/2 cups uncooked rice); 3 tablespoons vegetable oil, divided; 1 large egg; 1/4 cup sliced garlic chives or regular chives, plus more for serving; 1/2 teaspoon ground coriander, plus more for serving; 2 tablespoons (or more) mushroom soy sauce or 1 tablespoon regular soy sauce; 8 cups (2-inch) cubes stuffing; 1 bunch small Tuscan kale, ribs and stems removed, leaves torn; 1 (3.5-ounce) package honshimeji or oyster mushrooms, torn into bite-size pieces