01 - In a small bowl, whisk together the root beer, honey, soy sauce, rice vinegar, sesame oil, and cornstarch until a smooth emulsion forms. Set aside.
02 - Heat 1 tablespoon of vegetable oil in a large skillet or wok over medium-high heat. Introduce the diced ham and cook for 2–3 minutes, allowing it to achieve a light browning.
03 - Add the minced garlic, thawed peas, and carrots to the skillet. Stir-fry for approximately 2 minutes until the garlic becomes fragrant and the vegetables are tender-crisp.
04 - Shift the ham and vegetables to one side of the cooking vessel. Add the remaining 1 tablespoon of oil to the cleared space and pour in the lightly beaten eggs. Gently scramble until just set, then incorporate them with the ham and vegetables.
05 - Add the cold, fluffed jasmine rice to the skillet, ensuring to break apart any compacted clumps. Stir-fry for 2–3 minutes, ensuring the rice is thoroughly heated.
06 - Pour the prepared root beer and honey sauce mixture over the rice. Toss thoroughly to evenly coat all ingredients, continuing to cook for an additional 2–3 minutes until the sauce is absorbed and well integrated.
07 - Remove the skillet from the heat. Stir in the sliced green onions and season with black pepper to taste. Serve immediately.