Timing the Resurfacing of Concrete Deck in Pool Renovation

I'm going to do a pool renovation (replaster, new tile, new coping). I am looking at adding some decking and plan to resurface (Sundek, for example) the existing concrete deck. I'm trying to determine the best time to resurface the concrete deck, before the demolition and replacement of existing coping and tile, or after installation of new coping and tile? I've rec'd suggestions from contractors for both scenarios, so it's making it hard to decide.