Place the brown rice noodles in a bowl of hot water to soak for 20 minutes until they are pliable yet firm to the bite.
In a small glass jar, whisk together the tamarind paste, fish sauce, and coconut aminos until the sauce is completely smooth.
Heat the toasted sesame oil in a large wok over medium-high heat and sauté the minced garlic until fragrant.
Add the shrimp to the wok and sear for 2 minutes per side until they are pink and perfectly opaque.
Push the shrimp to the side, crack the egg into the center, and scramble it quickly until just set.
Drain the noodles and add them to the wok with the sauce, tossing vigorously to ensure every strand is coated.
Stir in the mung bean sprouts and sliced green onions, cooking for just one minute to maintain their fresh snap.
Transfer the Pad Thai to a plate and garnish with crushed peanuts and a bright squeeze of fresh lime juice.