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A progressive warm up is a great idea for prepping for any heavy,”meat and potatoes” lift. Before I get to those sets I like to use super bands to get my shoulders going and prepped for the stress of benching. Im not sure of the exact names of the videos but there are several on getting into the shoulder.
My favorite is “setting the shoulder with super d” Getting that motion prepped and ready always helps my shoulders with benching.
Also,try warming up and stretching out your rhomboids(weird I know). Getting them loose and ready will give you more ROM for your scapula at the bottom of your bench and help with setting that shoulder.
Hope that helps