Bring a small pot of water to a boil, carefully lower the egg into the water, and cook for 6.5 minutes before transferring to an ice bath to cool.
Heat the sesame oil in a medium pot over medium heat, then add the minced garlic and grated ginger, sautéing until fragrant.
Add the thinly sliced pork shoulder to the pot, season with sea salt and black pepper, and sear until the edges are golden brown.
Pour in the beef bone broth and tamari, then bring the mixture to a gentle simmer.
Add the sliced shiitake mushrooms and dry soba noodles to the broth, cooking for approximately 4 minutes until the noodles are tender.
Stir in the baby bok choy and cook for an additional 1-2 minutes until the leaves are wilted but the stems remain slightly crisp.
Gently peel the cooled egg and slice it in half lengthwise.
Ladle the ramen and broth into a large bowl, top with the soft-boiled egg halves and sliced green onions, and serve immediately.