Not only is the door not the original one (and we do not know where that door was), but the ceiling and the tiles on the walls are mostly post-Nasrid*.
*The Emirate of Granada also known as the Nasrid Kingdom of Granada was an emirate established in 1230 by Mohammed I ibn Nasr. After Prince Idris left Iberia to take the Almohad Caliphate leadership, the ambitious Mohammed I ibn Nasr established the last Muslim dynasty on the Iberian peninsula, the Nasrids.