Bring a small pot of water to a boil and cook the egg for 6 minutes and 30 seconds, then immediately transfer to an ice bath to cool.
In a separate pot, cook the brown rice ramen noodles according to package directions, drain, and set aside.
Heat the toasted sesame oil in a large skillet over medium-high heat and add the ground pork, sea salt, and black pepper.
Sauté the pork until browned and fully cooked, then stir in the minced garlic and grated fresh ginger for 1 minute.
Pour the chicken bone broth, tamari, and sriracha into the skillet, bringing the liquid to a gentle simmer.
Add the baby bok choy, shredded carrots, and shelled edamame to the broth and cook for 3 minutes until the vegetables are tender-crisp.
Place the cooked noodles in a deep bowl and pour the pork, vegetable, and broth mixture over them.
Peel and halve the soft-boiled egg, placing it on top of the ramen, and garnish with sliced green onions.