Drunken-Style Noodles with Shrimp

Name: Drunken-Style Noodles with Shrimp
Cuisine: Asian, Thai
Ingredients: 8 cups plus 3/4 cup water, (plus more as needed); 8 ounces rice noodles, (as thick as you can find); 2 tablespoons oyster sauce; 2 tablespoons soy sauce; 1 1/2 tablespoons fish sauce; 1 1/2 tablespoons sriracha, (or to taste); 1 tablespoon dark brown sugar; 3 large eggs; Salt; 5 tablespoons vegetable oil; 1 pound large shrimp, (peeled and deveined); 2 1/2 cups bite-sized broccoli florets; 1 bunch of scallions (light and dark green parts separated), (thinly sliced); 4 garlic cloves, (minced); 1/2 cup loosely packed Thai or Italian basil leaves, (roughly chopped); 1 tablespoon fresh lime juice (from 1 lime); Lime wedges, (for serving (optional))