Front or back? Near your ribs? I'm 39 weeks and have been suffering on and off with rib pain ( both front and back) that sounds similar. I have also had similar pain in my last pregnancy under my right breast and it felt like the skin was burning, but almost deeper (???) and in the same spot was sore to touch.
The rib pain has benefitted from osteopath appointments but I don't expect it to go until I've had bubs. The tender spot in my last pregnancy I think was a bit of nerve pain (but not shingles which I have had previously) associated with ribs etc. I couldn't resolve that one, but maybe a warm pack on the spot? Sorry not much help but I sure do know how you feel!
If you have an appointment soon, make sure you raise it with your care giver- not trying to scare you, but I think one of the symptoms of pre eclampsia is a similar pain under your right breast.