Scramble the eggs (if using) Heat the oil in a large skillet or wok over medium-high until shimmering. Add the beaten eggs and scramble just until set. Transfer to a small plate and set aside.
Sauté the carrots and onions In the same pan, add the onion and carrots. Cook until soft and translucent, about 5–7 minutes.
Add mushrooms.
Stir-fry 3–4 minutes until softened and lightly browned.
Add the garlic and ginger; cook 1–2 minutes until fragrant.
Add the chicken and snap peas.
Stir in the cooked chicken and snap peas; cook for 2 minutes.
Add the rice Spread the rice into the pan, pressing down lightly. Let it sit 1–2 minutes to crisp before stirring.
Season and combine Add the tamari and sesame oil. Stir to combine and heat through. Return the scrambled eggs to the pan and mix gently.
Finish and serve Taste and adjust seasoning. Top with any or all of your favorite add-ons — Sriracha, chili crisp, bright cilantro, lime wedges, or chopped peanuts. Serve with kimchi or sauerkraut on the side (do not cook).