Soak the brown rice noodles in hot water according to package directions until tender, then drain and set aside.
In a small bowl, whisk together the coconut aminos, lime juice, and red chili flakes to create the zesty sauce.
Heat the toasted sesame oil in a large skillet over medium-high heat and sauté the shrimp and minced garlic until the shrimp are pink and opaque.
Push the shrimp to one side of the pan, crack the egg into the empty space, and scramble it until just set.
Add the cooked noodles, bean sprouts, and shredded carrots to the skillet, pouring the sauce over everything.
Toss all ingredients together for 2 minutes until well combined and heated through.
Serve immediately, garnished with sliced green onions, crushed peanuts, sea salt, and black pepper.