Asian Noodles with Chicken and Scallions

Name: Asian Noodles with Chicken and Scallions
Ingredients: 1 lb chicken tenders (not coated or cooked); 1 lb fresh or frozen broccoli florets; 1 lb dried udon (thick wheat noodles); 1/2 cup premium oyster sauce (preferably Lee Kum Kee); 2 tablespoons hoisin sauce (preferably Lee Kum Kee or Koon Chun); 1 tablespoon Asian sesame oil; 2 teaspoons Chinese chile garlic paste (preferably Lan Chi), or to taste; 1/2 cup chopped scallions (from 1 bunch); 2 teaspoons roasted sesame seeds (optional)