This article investigates the dynamics of little-bang nucleosynthesis in high-energy heavy-ion collisions. It reveals that hadronic re-scattering processes significantly reduce the triton yield by about a factor of 1.8, as found through a kinetic approach that includes effects like pion-catalyzed multi-body reactions. This finding is supported by experimental data from the STAR and ALICE collaborations. The study shows that light nuclei such as deuterons and tritons are produced from the quark-gluon plasma (QGP) in the early universe, and their abundances are largely unaffected by later hadronic dynamics. However, the triton yield is notably reduced due to hadronic re-scattering, which is consistent with recent experimental measurements. The research also highlights the importance of hadronic dynamics in nucleosynthesis, contrasting with the statistical hadronization model, which underestimates triton production. The study extends to Pb+Pb collisions at LHC energies, showing similar hadronic effects. The results emphasize the role of pion-catalyzed reactions in the dynamics of little-bang nucleosynthesis, providing evidence for "dynamics at work" in heavy-ion collisions. The findings are supported by both theoretical models and experimental data, demonstrating the significance of hadronic re-scattering in the production of light nuclei.This article investigates the dynamics of little-bang nucleosynthesis in high-energy heavy-ion collisions. It reveals that hadronic re-scattering processes significantly reduce the triton yield by about a factor of 1.8, as found through a kinetic approach that includes effects like pion-catalyzed multi-body reactions. This finding is supported by experimental data from the STAR and ALICE collaborations. The study shows that light nuclei such as deuterons and tritons are produced from the quark-gluon plasma (QGP) in the early universe, and their abundances are largely unaffected by later hadronic dynamics. However, the triton yield is notably reduced due to hadronic re-scattering, which is consistent with recent experimental measurements. The research also highlights the importance of hadronic dynamics in nucleosynthesis, contrasting with the statistical hadronization model, which underestimates triton production. The study extends to Pb+Pb collisions at LHC energies, showing similar hadronic effects. The results emphasize the role of pion-catalyzed reactions in the dynamics of little-bang nucleosynthesis, providing evidence for "dynamics at work" in heavy-ion collisions. The findings are supported by both theoretical models and experimental data, demonstrating the significance of hadronic re-scattering in the production of light nuclei.