Ovarian Cyst and Chance of Conceiving

I am 22 and just found out I have an ovarian cyst on my right ovary. I have been in a lot of pain this last year because of it. My doctor prescribed me birth control to help with the pain, but it hasn’t eased the pain. I think I will need surgery to remove it because the pain is pretty intolerable. I just don’t want it to affect my chances of conceiving.

Has anyone else had the surgery and did/how did it affect your ability to conceive? Thanks!