At least 3 hours ahead of serving time: Marinate the chicken: Combine the eggs, cornstarch, salt, pepper, and vegetable oil in a bowl. Add the chicken slices; mix well to coat. Cover the dish and refrigerate the chicken for at least 3 hours. When ready to use, drain the chicken well (I used a sieve-dump the chicken in it over a bowl to drain...don't rinse...just drain as much of the slimy egg mixture as you can off of the chicken).

Combine the ingredients for the stir-fry sauce, cover and set aside until ready to use. Sauce can be made ahead.

Place the 3 cups of chicken broth in a large skillet (or wok); bring to a rolling boil. Once boiling, reduce heat to simmer. Add the well-drained pieces of marinated chicken to the broth; cook until chicken is almost done (about 3/4 of the way done - just a couple minutes). Before the chicken is cooked all the way through, remove the pieces from the pan using a slotted spoon, and drain on a paper towel-lined plate. Keep the chicken warm.

After removing the chicken, but while the broth is still simmering, add the broccoli florets. Cook these until crisp-tender (just a few minutes!). Once done, remove the broccoli with a slotted spoon and arrange it on a serving platter in a ring. Keep the broccoli warm. Once you have removed the broccoli from the pan, discard the broth. Wipe the skillet clean with a paper towel and put it back on the stove top.

Heat the skillet again and add 3 TBSP vegetable oil. Once oil is hot, add the ginger, green onion, and garlic... saute for just a few seconds. Add in the stir-fry sauce and simmer for a few minutes.

Add the chicken slices back into the sauce; cook all the way through, approximately 3-4 minutes. In a small bowl, mix 1/4 cup cornstarch with 1/2 cup water until smooth. Add this mixture to the chicken and sauce in the skillet. Stir in the sesame oil. Simmer for a minute or two while the sauce thickens.

Arrange the broccoli into a ring shape around the perimeter of serving platter. Once the sauce has thickened and is hot, pour the stir-fry into the center of the broccoli ring. Serve with steamed rice. Enjoy!