Place dry brown rice noodles in a heat-proof bowl and cover with boiling water; let soak for 8 minutes until tender but firm, then drain well.
In a small jar, whisk together the tamari, fresh lime juice, coconut sugar, and water until the sugar is completely dissolved.
Heat the sesame oil in a large non-stick skillet or wok over medium-high heat, then add the minced garlic and sauté for 30 seconds.
Add the shrimp to the skillet in a single layer and cook for 2 minutes per side until they turn pink and opaque.
Push the shrimp to one side of the pan, crack the egg into the empty space, and scramble quickly with a spatula until set.
Toss the drained noodles and the prepared sauce into the skillet, stirring constantly for 2 minutes to coat every strand.
Fold in the fresh bean sprouts and sliced green onions, cooking for just 30 seconds more to maintain a slight crunch.
Serve immediately in a shallow bowl, topped with a pinch of red pepper flakes for a subtle heat.