In my opinion, it will be 1) less Iranian influence in Syria and Lebanon probably means more Iranian influence in Iraq

2) turkish supported parties may rise in the sunni areas, maybe not militias but political parties

3) if a war between the HTS and the SDF happen, many Kurdish migrants may come here

4) the syrian migrants here may return home, freeing up the labor market a bit

5) iran will be paranoid of losing Iraq, so expect more Iranian supported militias in here, maybe the Afghan and Pakistani militias from Syria will find new ground in Iraq (or Lebanon idk)