I feel a ton of empathy when I see tricky living rooms, because I know they can pose a frustrating challenge. Whenever I do a design consultation where the client has been struggling with layout, I tell them 'I can totally understand why you're having a tough time with this space - it's a real head-scratcher!'.
Due to the layout of the flat - a courtyard option presented itself quickly on one side which then led naturally to two further projections one to the opposite side and one to the rear.