Heat a large skillet over medium-high heat and add the sesame oil.
Add the ground pork to the skillet, breaking it up with a spatula until browned and fully cooked through.
Season the pork with sea salt and black pepper.
Stir in the minced garlic, grated fresh ginger, and the sliced white parts of the green onions, sautéing for 1 minute until fragrant.
Add the chopped cabbage kimchi and gochujang to the pan, stirring for 2 minutes to allow the flavors to caramelize.
Fold in the chilled jasmine rice, pressing it firmly into the pan and letting it sit undisturbed for 3-4 minutes to develop a crispy bottom layer.
Drizzle the tamari over the rice and toss everything together until well combined.
In a separate small non-stick pan, heat the avocado oil over medium heat and fry the egg until the whites are set but the yolk remains runny.
Transfer the fried rice to a bowl, top with the fried egg, and garnish with the remaining green onion tops before serving.