Acknowledgements:

This work was granted access to the HPC resources of CINES under the allocations 2013047012, 2014047012, 2015047012, c2016047637, A0020407637 made by GENCI and KSC-2017-G2-0003 by KISTI, and as  a ``Grand  Challenge’'  project  granted  by  GENCI  on  the  AMD-Rome  extension of the Joliot Curie supercomputer at TGCC, and under the the allocation 2019-A0070402192 made by GENCI. This research is part of the Spin(e) (ANR-13-BS05-0005, http://cosmicorigin.org), Segal (ANR-1919-CE31-0017, http://secular-evolution.org) and Horizon-UK projects. This work has made use of the Horizon cluster on which the simulation was post-processed, hosted by the Institut d’Astrophysique de Paris. We warmly thank S. Rouberol for running it smoothly.