So Toa of air can manipulate winds, and how are winds created? A difference in air pressure between two adjacent areas.
Using the ideal gas equation (PV=nRT or Pressure * Volume = number of moles *a constant * temperature) and isolating pressure we get P=nRT/V
Assuming toa of air are not manipulating the volume of the container of the gas or the number of moles, we can say nR/V is some constant C, so P=CT
We can see that pressure is dependent on temperature. So therefore toa of air manipulate wind by manipulating the temperature of the air. And that means they are toa of thermodynamics because they can control temperature.