In a large nonstick skillet, heat 1 tablespoon of the oil. Add the eggs and cook over high heat, stirring just until very loosely set, about 2 minutes. Transfer the eggs to a plate. Add the remaining 3 tablespoons of oil to the skillet along with the chile, garlic and ginger and stir-fry over high heat until fragrant, about 30 seconds. Add the mushrooms and stir-fry until softened. Add the rice noodles and chicken and stir-fry for 2 minutes. Add the eggs and stir-fry for 1 minute, breaking them up slightly.