Prepare Chicken: Lightly season chicken breasts with salt. Heat 1 Tbsp oil in a skillet over medium-high heat. Sear chicken 3–4 minutes per side until golden and cooked through (165°F internal temp). Reduce heat to low, add ¾ cup Korean Sweet Heat Sauce, and baste chicken for 1–2 minutes until glazed and sticky. Remove from heat and let rest. Slice before serving.
Sauté Vegetables: In a wok or sauté pan, heat sesame oil over medium-high heat. Add peppers, carrots, and mushrooms. Sauté for 3–4 minutes until slightly tender. Add shredded red cabbage and cook 1–2 more minutes just to soften slightly. Season with a pinch of salt.
Assemble Bowl: Spoon 1 cup of sticky rice into each bowl. Arrange sautéed vegetables around the bowl. Top with sliced glazed chicken breast. Drizzle additional Korean-Style Sweet Heat Sauce if desired. Garnish with scallions, sesame seeds, and a wedge of lime.