Vegetarian Fried Rice with Shiitakes and Edamame

Name: Vegetarian Fried Rice with Shiitakes and Edamame
Ingredients: 5 tbsp. fresh lime juice, plus wedges for serving; 2 tbsp. reduced sodium soy sauce; 2 tsp. fish sauce; 1 tsp. sugar; 4 tbsp. canola oil; 8 oz. tiny shiitake mushrooms, (or shiitake mushroom caps, slices); 4 green onions, thinly sliced; 1 piece ginger, peeled and cut into matchsticks; 2 cloves garlic, thinly sliced; 1 jalepeño chile, seeded if desired, thinly sliced; 4 c. Cooked basmati rice; 1 c. edamame, thawed if frozen; 4 large fried eggs; Fresh cilantro leaves, for serving