In a large skillet or wok over medium heat, add 2 teaspoons of sesame oil and the ground pork or chicken. Using a wooden spoon, break the ground meat apart. Cook for a few minutes.
Add the minced garlic and minced ginger. Stir to combine and continue breaking apart the meat with the spoon. Cook for a few minutes and until very fragrant.
Add the oyster sauce to the ground meat and continue to cook until the meat is cooked all the way through, about 5 minutes.
Add the white and light green sliced green onions along with the tamari and the mirin. Stir to combine.
Add the bag of coleslaw mix to the pan and stir to combine. Cook down for five minutes. Depending on the heat of your cooktop, you might need to adjust up or down. The cabbage should begin to soften.
Drizzle the remaining teaspoon of sesame oil over the mixture and stir to combine.
Push all of the ingredients over to the side and add the beaten eggs to the hot skillet or wok. Using a mixing spoon, stir the egg mixture while it is cooking. Once eggs begin to turn solid, stir them into the meat and the slaw mixture. Continue cooking for about 5-10 minutes.