Mix together the seasoning sauce, tamarind paste, lime juice, and sugar in a jug. Allow the flavors to meld. Place the noodles in a large heatproof bowl and cover them with boiling water. Let them sit for 5 minutes to soften, then fluff them with a fork and drain.
In a smoking hot wok, cook half of the tofu in 2 tablespoons of oil until golden brown, about 2 minutes. Transfer to a paper towel-lined plate. Repeat with the remaining tofu.
Heat the remaining oil in the wok over medium heat until it starts to smoke. Stir-fry eschalot and garlic for 2-3 minutes until eschalot softens. Add carrot and capsicum, stir-fry for 1-2 minutes until carrot is tender. Create a well in the center of the vegetables and pour the egg in. Stir until partially cooked, then add noodles and combine well.
Combine the lime-juice mixture, tofu, bean sprouts, cabbage, and coriander in the pan and stir-fry until well mixed.
Serve the Pad Thai in individual bowls, top with peanuts, and garnish with lime wedges before enjoying.