The word "chamber" or "room" is understood from the previous phrase. The phrase "facing south" means that its door is on its south side, and "facing north" means that its door is on its north side. AT: "one room on the north side facing south, and the other room on the south side facing north" (See: [[rc://en/ta/man/translate/figs-ellipsis]])
This refers to the chamber on the north side of the inner courtyard. AT: "This room whose door is on its south side" or "This room on the north side of the inner courtyard"