The answer is below.
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In adiabatic processes, no energy is lost from the system to the surroundings. In the case of the tire being released of pressure, it is so fast that no energy is lost to the surroundings. In adiabatic processes, if the system does work on the surroundings, it loses energy. Thus, since the air is applying a force by creating a strong wind, it is doing work on the surroundings, meaning that temperature must decline.