Place pork in a large bowl, and add oyster sauce, soy sauce, sesame oil, sugar, sea salt, and ground black pepper. Stir together and set aside to marinate while you prepare the eggs.
Combine all ingredients for the steamed eggs in a bowl, and whisk together well until smooth.
Strain the egg mixture through a fine-mesh strainer into a heat-safe shallow bowl that can fit inside a large pot. Spoon out any bubbles that form on the top. Cover the bowl with a plastic wrap and pierce a few holes to allow the steam to escape.
Bring 1 inch of water to a boil in a large pot then place a steamer rack (like this one) inside. Place the bowl on the basket, making sure the water doesn't touch the bowl. Cover, bring the heat down to medium, and steam for 10-11 minutes while you cook the pork. Heat avocado oil in a large skillet over medium high heat. Add the marinated pork and stir cooking until the meat is no longer brown, about 4-5 minutes.
Add garlic and stir for 1 minute until fragrant.
Whisk together water and arrowroot starch and pour into the skillet. Cook until the sauce is thickened - about 1-2 minutes. You can taste to adjust seasoning at this point.
Turn off heat, and stir in green onions.
Once the eggs are cooked, remove from the steamer.
Top with the pork mixture, sprinkle more green onions, and serve warm.