Given a kiln with a dome roof. The wall consist of $2$ layers of materials $($brick inside with thickness of $50$ cm; steel outside with thickness of $2$ cm$),$ and the dome roof is semi$-$spherical with $2$ layers of materials $($the same as that of the wall$).$ The temperature inside the kiln is $800\backslash$deg C$,$ and the temperature outside is $50\backslash$deg C$.$ Calculate the total heat loss of the entire kiln system $($skip the heat loss through the floor$).$