If it is not "very disturbing" that the furniture protrudes, I might cover the slot at the back with a well-fitted board. (the same wood or painted white) When the plaster and wallpaper are removed, this will definitely remain visible at the rear upper edge ... (no matter how much or little dust is generated) Therefore, this spot would somehow need to be "taken care of." (a - white? - quarter round rod in the corner, for example) One question remains whether it would not be easier to modify the furniture. Perhaps a side panel can be removed, the whole thing shortened, and reassembled? There is already a seam. Maybe the wall where two meet can be completely omitted? Ask a carpenter? I know situations where due to a mistake the final result is more successful than originally planned (perhaps you will be happy about a larger table surface because something fits that previously didn’t?)