Talk to Gynecologist on Pregnancy.

I am 38 week pregnant but i am not having any pain and my cervix was not open so my doctor checked it and after that time i am having brown discharge but the movement of baby is OK now i want to know what should i do in this condition my doctor suggested me expected date on 16 oct 2022 plz guide me should i go for labour (delivery) or wait till 16 oct 2022?