Originally, I wanted to recommend that you put it behind the sofa, which happens to be west, but considering that you have wall clocks on both sides, it means that once you hang it on the wall behind the sofa, it is equivalent to lighting on both sides.
I thought about it for a while,
First, it is not appropriate to put it in the middle. It is not beautiful to put a long shelf like a street lamp next to the coffee table.
Second, if you lean against the wall, there is bound to be something you can't see at ordinary times. (For example, if you put the curtain in that direction, you can see one side when sitting on the sofa, but it is a little difficult for you to see the other side when you come out of the master bedroom, and if you enter the light at that position, it will also lead to unclear reflection. )
Then think about it, or on the left side of the sofa (that is, on the left side of your map), you can set up a long frame, such as a street lamp (it won't be too ugly if you don't put it in the middle), and you can consider a dark yellow tone, with a slightly inclined angle, so that people can come out of the master bedroom to see what time it is and whether they will be late for work.
Personally, I think two sides are not as good as one side, of course, you have to decide according to your own situation.