Soak the brown rice noodles in a bowl of very hot water for about 10-15 minutes until pliable but still firm, then drain and set aside.
In a small bowl, whisk together the tamarind paste, fish sauce, coconut aminos, and coconut sugar to create the Pad Thai sauce.
Heat the avocado oil in a large wok or skillet over medium-high heat. Add the minced garlic and red pepper flakes, sautéing for 30 seconds until fragrant.
Add the shrimp to the pan and cook for 2 minutes per side until pink and opaque. Push the shrimp to one side of the pan.
Crack the egg into the empty side of the pan and scramble quickly until just set, then mix it in with the shrimp.
Add the drained noodles and the prepared sauce to the pan, tossing vigorously for 1-2 minutes until the noodles are tender and coated.
Fold in the bean sprouts and sliced green onions, cooking for just 30 seconds to maintain their crunch.
Serve immediately topped with crushed peanuts and a generous squeeze of fresh lime juice.