Beef and Broccoli

Name: Beef and Broccoli
Ingredients: 1/3 c. low-sodium soy sauce, divided; 2 tbsp. fresh lime juice; 2 tbsp. packed brown sugar; 2 cloves garlic, grated; 1 tbsp. grated fresh ginger; 1 to 2 tsp Sriracha; 1 tsp. toasted sesame oil; 3 tsp. cornstarch, divided; 1 lb. sirloin or strip steak, steak halved lengthwise, then thinly sliced; 1 large head broccoli (about 1 lb), cut into small florets, stem peeled (if necessary) and sliced; 1 tbsp. canola oil; White rice, sliced red chiles, sesame seeds and scallions, for serving