  Using formal-local methods, we prove that a separated and normal tame Artin
surface has the resolution property. By proving that normal tame Artin stacks
can be rigidified, we ultimately reduce our analysis to establishing the
existence of Azumaya algebras. Our construction passes through the case of tame
Artin gerbes, tame Artin curves, and algebraic space surfaces, each of which we
establish independently.
