I continue to get ovarian cysts when on a different continuous birth control pills year round for endometriosis. Last one was serous cystedoma. Could changing birth control pills potentially help.

Probably not. It is unlikely the changing birth control pills will prevent the recurring ovarian cysts.If you know that the last cyst was a cyst adenoma you are probably being followed by a gynecologist.
Ovarian cysts. Can be hormonally influenced; however, doubtful the oral contraceptives will make cysts disappear, worth discussing with GYN.