if you are truly hypermobile (can u touch your thumb to your wrist?)

then you must strengthen but i wouldnt strengthen your upper traps wtf. do your lower traps..rotator cuff muscles. DO NOT stretch or you will end up like me!! i used to have droopy shoulders now my shoulders are hiked up to my ears from overstretching as a defense mechanism. theres no middle ground. and your neck will hate you for it.

what works for me is strengthening without weights just holding up your body weight, dont let them talk you into resistance bands, you will get worse! trust me then you combine that with the barest MINIMUM of stretching...one stretch i do is just lying down on my back and putting my arm over my head to stretch my armpit. THATS IT and if i ihave any slight tingling or nervy sensations i dont even do that. people who are hypermobile don't know how to stretch properly. they overstretch. nerves go into protection mode. repeat ad nauseum.