The replica-symmetric free energy formula can potentially be extended to the entire high-temperature region beyond the specific threshold identified in this work. The key lies in further analyzing the behavior of the system as the temperature approaches the critical point. By refining the techniques used in this study and possibly incorporating additional mathematical tools, it may be possible to derive a more comprehensive formula that applies across a wider range of temperatures. This extension would require a deeper understanding of the system's behavior near the critical temperature and the interactions between the components of the model.