Cook the eggs in boiling water as per your liking. Alternatively, you can use an air fryer to hard-boil eggs. Peel and set them aside.
Heat the sesame oil in a pan over medium heat. Add the minced garlic and grated ginger, and saute until fragrant, about 1 minute. Add the chicken broth and bring it to a boil. Add the ramen noodles (discard the flavor packets) and soy sauce. Cook according to the package instructions, about 3-4 minutes.
Add the baby bok choy to the pan and cook until the leaves wilt and the stems are tender but crisp, approximately 2-3 minutes.
Assemble: Remove the noodles and divide them between two bowls. Place two bok choy in each bowl. Pour the hot broth over the noodles in each bowl. Cut the boiled eggs in half and place two halves in each bowl.
Add Toppings and Serve: Top each bowl with raw shredded carrots and sprinkle with black sesame seeds. Garnish with chopped green onions. Serve immediately.