does anyone here have experience with doing either bjj/wrestling/judo with a bad shoulder?

i popped out my right shoulder years ago and it hung out of the socket (and caused me great pain) for about 1 minute before going back in, basically i torn my labrum.

doctor said i didnt have to get surgery (i could just do rehab) but its still popped out a few times since then.

i really want to learn a grappling martial art but i figure with all the throwing and pulling that maybe it isnt the best idea?

just wondering if you guys have experience with this and know if they'll even let me sign up if im a huge liability like this.

thanks.