Swap to something that is “normal”. You can change the wall outlet AND the plug on the dryer to match. YOUR choice of which pair. As long as they match, you are good.
I used to get surplus pallets of electric stuff and always there were 208 or 220 plugs on there.
Might be worth a trip to an appliance store to see what is “current”. Pun intended.
The nema number should be definitive. Any NEMA 14-30P should fit into the NEMA 14-30R that was pictured, or else one of them is defective. Several of the NEMA variants allow either a round or U shaped ground, so for those variants, the receptacle is always U shaped, and must accept a plug of either style.
GE’s infinite cord flux state. A universal law that whatever cord you have on your dryer will not fit the socket you are trying to plug in to. You will always have to add or subtract a prong. It will never not be an annoying PITA.