View attachment 146720 Your SE has correctly identified the fact that the single-skin brickwork is not suitable to span vertically between the top of the cavity wall and the underside of the roof structure. The critical weak point will be the full-height wall between the windows, because that will be taking wind load on part of the windows each side, as well as its own area.
The wind load induces bending in the brick skin, resulting in tension on the room-side, which brickwork is not capable of resisting. Rather than a chunky wind post, why not consider screwing two (or better, three) strips of steel, say 5mm thick and 100mm wide, to the bit between the windows. These should be suitably fixed to at least two floor joist at the bottom, and to the roof structure (via the wall plate?) at the top.
These would not be true wind posts, but if fixed with sufficient screws, will add some tensile strength to the brick skin as a whole and so improve resistance to lateral wind load.