OT - Exterior Window Stops - Prime First, Then Caulk?

Sorry for the OT question, but it is wood related...
As part of a window replacement project, I'm going to be removing my aluminum storms. I expect that this will expose unpainted window stops.
Should I prime the exterior stops before installing the windows and caulking or is OK to wait until the caulk dries and then prime/paint? I'm wondering if the bare wood will draw too much moisture out of the caulk for it to cure properly.

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