Prepare the brown rice noodles according to package instructions by soaking in hot water until tender, then drain and set aside.
In a small mixing bowl, whisk together the tamari, lime juice, chili garlic sauce, and fish sauce to create the pad thai sauce.
Heat the avocado oil in a large skillet or wok over medium-high heat until shimmering.
Add the shrimp to the skillet and sauté for 2-3 minutes until they turn pink and become opaque.
Stir in the minced garlic, shredded carrots, and mung bean sprouts, cooking for an additional 2 minutes until the vegetables are slightly softened.
Add the drained noodles and the prepared sauce mixture to the skillet, tossing vigorously to ensure everything is well-coated and heated through.
Remove from heat and garnish with fresh cilantro, sliced green onions, and sesame seeds before serving immediately.