Pull the mast or not
I would not rely on my shrouds to keep my mast up.
Here is how to do this: Use your jib halyard and main halyard as running backstays one to port and one to starboard. Run them to an aft position like your spinnaker sheet turning blocks at the aft corners. Winch them tight. Do not loosen the forstay. Undo your back stay.
I have done this procedure numerous times at haul out when storing with my mast up and have never had any problem.