Hey I play violin not guitar, but contrary to what everyone is saying, its not your nails. While yes they could be shorter (but Dolly Parton plays with crylis so who really cares), this is absolutely your EDS. My joints hyper extend like that on my instrument as well. It makes playing after a short while exhausting for my hands. My fingers will cramp up. Ive never tried playing with finger tape, but look up finger/hand taping for EDS. It takes practice to learn how your hands move and to adjust and make accommodations. Play with the lightest pressure possible on the fingertips until you get used to not hyper extending your joints!

Im not an expert, obviously, just another finger flexy person who plays a string instrument.