Gochujang Steak Wraps

Name: Gochujang Steak Wraps
Ingredients: 2 1-thick boneless New York strip steaks (about 2 lb. total); 2 Tbsp. Diamond Crystal or 1 Tbsp. plus ½ tsp. Morton kosher salt; 2 Tbsp. vegetable oil; 3 Tbsp. sugar, divided; 2 Tbsp. sesame seeds; 6 garlic cloves, finely chopped; ¼ cup gochujang (Korean hot pepper paste); 2 Tbsp. soy sauce, preferably low-sodium; 2 Tbsp. toasted sesame oil; 1 Tbsp. apple cider vinegar; 6 scallions, green parts only, thinly sliced; Flaky sea salt, cooked rice, and tender lettuce leaves (for serving)