Slice the chicken breast into even, bite-sized pieces and season them with the sea salt and black pepper.
In a small glass bowl, whisk together the gochujang paste, coconut aminos, and toasted sesame oil until the mixture is smooth.
Heat the avocado oil in a large stainless steel skillet or wok over medium-high heat until it begins to shimmer.
Add the chicken to the pan in a single layer, searing until golden brown and fully cooked, then transfer the meat to a clean plate.
In the same pan, toss in the broccoli florets and sliced red bell pepper, stir-frying for 3 to 4 minutes until they are tender yet crisp.
Add the minced garlic and grated fresh ginger to the vegetables, sautéing for just 30 seconds until the aroma fills the kitchen.
Return the cooked chicken to the skillet and pour the prepared gochujang sauce over the entire mixture.
Toss everything continuously for 1 minute until the sauce reduces into a thick, glossy glaze that coats every piece.
Remove the pan from the heat and garnish the dish with sliced green onions, sesame seeds, and a bright squeeze of fresh lime juice.