I have no idea of the way things are in Arizona, but I wouldn't leave a pool empty like that where I live! Do you have hydrostatic relief valves installed? If so, open them! Check with your builder, or other local pool builders, and your plastering company for their recommendation.
I'm no expert at replastering, but I think they only remove a little of the old plaster around the tile and any fittings. They acid wash the rest to rough it up then replaster.
You start filling as soon as they finish (I'm sure they'd tell you that).
Good luck.
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