Chicken Spaghetti Lo Mein

Name: Chicken Spaghetti Lo Mein
Ingredients: 4 ounces dried shiitake mushrooms (about 3 cups); 4 cups hot water (170°F); 7 ounces uncooked spaghetti; 1 tablespoon plus 1 tsp. toasted sesame oil; 5 tablespoons plus 1 tsp. soy sauce, divided; 6 tablespoons plus 1 tsp. vegetable oil, divided; .50 teaspoon black pepper, plus more to taste; 2 (7-oz.) boneless, skinless chicken breasts, sliced diagonally into 1/8-inch-thick strips; 2 tablespoons Shaoxing wine; .50 teaspoon cornstarch; 4 large eggs; ¼ teaspoon kosher salt; 2 cups (2- x 1/4-inch) celery strips