Bring a small pot of water to a boil, carefully lower in the eggs, and simmer for exactly 6 and a half minutes before transferring them to an ice bath.
Cook the brown rice ramen noodles according to package directions, drain, and set aside.
In a medium saucepan, heat the chicken bone broth with the ginger and half of the minced garlic, simmering gently to infuse the flavors.
Add the baby bok choy to the simmering broth for 2 minutes until tender-crisp, then remove from heat.
In a separate skillet, melt the ghee over medium-high heat and add the remaining garlic and the shrimp, seasoning with sea salt and black pepper.
Whisk together the gochujang, sriracha, and toasted sesame oil, then pour over the shrimp, tossing for 2-3 minutes until the shrimp are pink and glazed.
Divide the noodles and broth into a large bowl, top with the spicy garlic shrimp and sliced green onions.
Peel and halve the soft-boiled eggs, placing them on top of the ramen before serving immediately.