Pueblo Revival style. Actually I should have listed that as the first approved style because it is the oldest. Originally it was made of sun baked mud bricks stacked then plastered over with more mud. The exposed wood beams were to support the roof, but of course that style of building is not used today... only the look is preserved.
There are, however, examples of very old buildings still standing that are genuine adobe (not Photo-shopped)/Pueblo... some even hundreds of (or even a thousand) years old. That is some good mud.