Cook the brown rice noodles according to package directions until al dente, then drain and set aside.
In a small bowl, whisk together the coconut aminos, tamarind paste, and lime juice to create the sauce.
Heat the sesame oil in a large skillet or wok over medium-high heat.
Add the shrimp and minced garlic to the skillet, sautéing until the shrimp 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 cooked noodles, the prepared sauce mixture, and the red pepper flakes to the pan, tossing everything together to coat.
Fold in the bean sprouts and sliced green onions, cooking for about one minute until the sprouts are slightly wilted.
Serve the pad thai immediately, topped with crushed peanuts for a satisfying crunch.