During a breast reduction, can cyst removal be done while taking out breast tissue? (photo)

Was wondering if when a breast reduction is being done, while taking out the breast tissue, are the doctors able to remove cysts as well..? I feel silly for not knowing if they do or not. I have several cysts in my breast, as does my mother. My mother once had one removed she says it was the worst experience of her life it left scar tissue and the cyst grew back .. So the question maybe be moot by this point but I was just wondering! Any advice will help! Thanks :)