What to do if I have polycystic ovary syndrome and I'm taking birth control to treat it. Will laser hair removal work for me?

Yes. Provided you have dark hair and have the pcos under control laser hair will remove the unwanted excess hair.
Yes. Although your condition stimulates hair growth, lasers can effectively treat unwanted hair. Practice good sun protection to make the hair stand out from the surrounding skin and understand you will need more maintenance treatments . Explain your condition and all your meds to your treating physician.