Place the dry brown rice noodles in a bowl of hot water and soak for 10 minutes until softened, then drain and set aside.
In a small jar, whisk together the tamari, honey, lime juice, and red pepper flakes until the honey is fully dissolved.
Heat the toasted sesame oil in a large wok or skillet over medium-high heat.
Add the minced garlic and minced ginger to the skillet, sautéing for 30 seconds until highly aromatic.
Add the raw shrimp to the skillet and cook for 2-3 minutes, turning once, until they are pink and opaque.
Push the shrimp to one side of the pan and crack the egg into the empty space, scrambling it quickly until just set.
Add the soaked noodles, bean sprouts, and shredded carrots to the pan, pouring the prepared chili-lime sauce over everything.
Toss all ingredients together for 2 minutes until the noodles are tender and the sauce has thickened to coat the shrimp and vegetables.
Remove from heat and garnish with sliced green onions and chopped cilantro before serving immediately.