In a medium bowl, combine the sliced chicken, cornstarch and tamari, stir to coat; set aside.
In a 2 cup measuring cup or larger, combine the fish sauce, tamarind paste, water, tamari, lime juice, chicken broth, sambal oelek, brown sugar, and tablespoon of oil, whisk until the brown sugar dissolves completely; set aside.
Cook the noodles according to package directions. Rinse with cold water to stop the cooking process.
Heat a large wok over medium high heat. Add in 1 tablespoon of oil, along with the garlic let cook for 30 seconds, then add the chicken and allow for the chicken to cook through, about 3-4 minutes per side. Remove the chicken to a plate. Add the light green portion of the scallions along with the carrots and let sauté for 30 seconds before adding in the remaining 1 tablespoon of oil and the beaten eggs. Scramble the eggs in the pan until they cook, about 1 minute, then add the chicken, noodles, bean sprouts, and the sauce. Pour the slurry into the pan toss the pad thai using wooden spoons so that everything mixes together, let sauce thicken 1-2 minutes.
Serve immediately topped with dark greens of scallions, cilantro, chopped peanuts, and lots of lime wedges.