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We reply to the recent note "Comment on Synchronization dynamics innon-normal networks: the trade-off for optimality", showing that the authorsbase their claims mainly on general theoretical arguments that do notnecessarily invalidate the adequacy of our previous study. In particular, theydo not specifically tackle the correctness of our analysis but instead limittheir discussion on the interpretation of our results and conclusions,particularly related to the concept of optimality of network structure relatedto synchronization dynamics. Nevertheless, their idea of optimal networks isstrongly biased towards their previous work and does not necessarily correspondto our framework, making their interpretation subjective and not consistent. Webring here further evidence from the existing and more recent literature,omitted in the Comment note, that the synchronized state of oscillators coupledthrough optimal networks, as intended by the authors, can indeed be highlyfragile to small but finite perturbations, confirming our original results.

Reply to Comment on "Synchronization dynamics in non-normal networks: the trade-off for optimality"