Heat avocado oil in a large wok or skillet over medium-high heat.
Add the diced chicken breast and cook until browned and cooked through, approximately 5-6 minutes.
Stir in the minced shallots, garlic, and sliced red chili, sautéing until the aromatics are fragrant and softened.
Add the chopped green beans and cook for 2 minutes until tender-crisp.
Incorporate the chilled jasmine rice, using a spatula to break up any clumps and ensuring it is well-distributed.
Drizzle in the tamari and coconut sugar, stirring constantly to coat the rice evenly in the savory-sweet glaze.
Season with sea salt and black pepper, then push the rice mixture to one side of the pan.
Crack the egg into the empty side of the pan and fry until the white is set but the yolk remains runny.
Transfer the fried rice to a plate, top with the fried egg, and garnish with fresh cucumber and tomato slices.