Add broccoli and green onion whites to oil in Dutch oven. Cook over medium-high heat 1 to 3 minutes or until softened. Stir in broth, oyster sauce, brown sugar, chile garlic sauce, rice vinegar and soy sauce. Heat to simmering. Stir in chicken and noodles; return to boiling, and cook 1 to 2 minutes or until heated through and sauce is thick. Stir in cooked egg. Top with green onion greens and basil.