We sincerely thank the referee for their highly positive evaluation of our manuscript and for recognizing the value of our log-jet decomposition method. We completely agree with the referee that implementing a goodness-of-fit criterion is a crucial quality-control step. To address this excellent suggestion, we have introduced the coefficient of determination (R^2) to evaluate the fit, and we now discard any profile with an R^2 < 0.90 before applying the 20% fall-off criterion. Furthermore, to provide more clarity on how the fits are achieved, we expanded the methodology to explicitly state the optimization algorithm used (Differential Evolution) and the physical parameter bounds applied. We have updated Section 2.2 and the rest of the papers whose results are affected by the method improvements.

Thank you very much for your thoughtful and constructive review. We have carefully addressed each of your comments and suggestions, and the manuscript has been substantially improved as a result. Please find attached a PDF file containing our detailed point-by-point response, along with the revised manuscript with all changes highlighted. We appreciate your time and expertise, and we hope the revised version now meets the journal’s standards.