We would like to thank Anna Hasenfratz for valuable conversations.

A.A. was supported by the Horizon 2020 European research infrastructures programme “NI4OS- Europe” with grant agreement no. 857645, by “SimEA" project funded by the European Union’s Horizon 2020 research and innovation programme under grant agreement No 810660, as well as by the “EuroCC" project funded by the “Deputy Ministry of Research, Innovation and Digital Policy and the Cyprus Research and Innovation Foundation" as well as by the EuroHPC JU under grant agreement No. 101101903. The work of E.B. has been supported by the STFC Research Software Engineering Fellowship EP/V052489/1. The work of E.B. and B.L. has been supported in part by the EPSRC ExCALIBUR programme ExaTEPP (project EP/X017168/1) and the STFC Consolidated Grant No. ST/T000813/1. G.B. is funded by the Deutsche Forschungsgemeinschaft (DFG) under Grant No. 432299911 and 431842497. P.B. and B.L. acknowledge support by the project H2020-MSCAITN-2018-813942 (EuroPLEx) and the EU Horizon 2020 research and innovation programme. P.B. additionally acknowledges support by the Grant DGA-FSE grant 2020-E21-17R Aragon Government and the European Union - NextGenerationEU Recovery and Resilience Program on “Astrofísica y Física de Altas Energías" CEFCA-CAPA-ITAINNOVA.

This work used the DiRAC Extreme Scaling service Tursa at the University of Edinburgh, managed by EPCC on behalf of the STFC DiRAC HPC Facility (www.dirac.ac.uk). The DiRAC service at Edinburgh was funded by BEIS, UKRI and STFC capital funding and STFC operations grants. DiRAC is part of the UKRI Digital Research Infrastructure. We acknowledge the support of the Supercomputing Wales project, which is part-funded by the European Regional Development Fund (ERDF) via Welsh Government. The data from Ref. [12] were generated using the computing and long-term storage facilities of the USQCD Collaboration, which are funded by the Office of Science of the U.S. Department of Energy, and the Alpine high performance computing resource at the University of Colorado Boulder. Alpine is jointly funded by the University of Colorado Boulder, the University of Colorado Anschutz, and Colorado State University.