Prepare the brown rice noodles according to package instructions by soaking in hot water until al dente, then drain and set aside.
In a small bowl, whisk together the tamari, lime juice, and chili paste to create the zesty sauce.
Heat the sesame oil in a large wok or non-stick skillet over medium-high heat.
Season the shrimp with sea salt and black pepper, then sear in the hot skillet for 2 minutes per side until pink and opaque.
Push the shrimp to one side of the pan, crack the egg into the empty space, and scramble quickly until just set.
Add the cooked noodles, shredded carrots, and half of the green onions to the pan, pouring the sauce over everything.
Toss all ingredients together for 1-2 minutes until the noodles are well-coated and the vegetables are slightly softened.
Remove from heat and stir in the bean sprouts.
Serve immediately topped with the remaining green onions and crushed peanuts.