Heat 1 tablespoon of vegetable oil in a wok or large carbon steel skillet over medium-high heat until shimmering.
Pour the beaten eggs into the wok and scramble quickly until just set but still moist; remove from the pan and set aside.
Wipe the wok and add the remaining 1 tablespoon of vegetable oil.
Add the garlic and the white parts of the green onions, stir-frying for 30 seconds until aromatic.
Incorporate the peas and carrots, stir-frying for 1 minute.
Add the cold rice to the wok, using a spatula to break up any large clumps to ensure individual grains are separated.
Season the rice with soy sauce, sesame oil, salt, and white pepper, tossing continuously for 2-3 minutes to toast the grains.
Return the scrambled eggs to the wok and stir-fry for an additional 1 minute to integrate.
Garnish with the green parts of the green onions and serve immediately.