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tokens: D.M., H.V., and B.P. acknowledge a postdoctoral fellowship by grant CONACyT Ciencia Básica 255167. H.M.V. acknowledges grant DGAPA-PAPIIT IN109116; O.V. and S.R.-F. acknowledge grant DGAPA-PAPIIT IN112518, Fronteras de la Ciencia CONACyT 281; D.M.C. acknowledges grant DGAPA-PAPIIT IN105916, etc. We acknowledge the use of the Atocatl supercomputer at the Instituto de Astronomía of the Universidad Nacional Autónoma de México (UNAM) and DGTIC-UNAM for the use of Miztli, as well as the ABACUS supercomputer, where the simulations were performed. This paper is dedicated to the loving memory of our friend and colleague, Dr. Bárbara Pichardo, who first triggered the dynamical study of spiral arms in Mexico.