Hope you are doing well!
Well dear your score is 568 that means your rank should be somewhere in between 6000-10000 in all India,also,you said you come under OBC category that means your category rank will be lesser than this.
So,you have very good chances of getting medical government seat.
Also,I am providing you with the link of the college predictor that will help you in finding all the possible colleges under your NEET score:
Hope This Was helpful!
All the Best!
Keep Smiling :)