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We study the production of charmed and multi-charmed hadrons inultra-relativistic Heavy Ion Collisions coupling the transport approach forcharm dynamics in the medium to an hybrid hadronization model of coalescenceplus fragmentation. In this paper, we mainly discuss the particle yields forsingle charmed and multi-charmed baryons focusing mainly on the production of$\Xi_{cc}$ and $\Omega_{ccc}$. We provide first predictions for PbPb collisionin 0-10% centrality class and then we explore the system size dependencethrough KrKr, to ArAr and OO collisions, planned within the ALICE3 experiment.In these cases, a monotonic behavior for the yields emerges which can be testedin future experimental data. We found about three order of magnitude increasein the production of $\Omega_{ccc}$ in PbPb collisions compared with the yieldin small collision systems like OO collisions. Furthermore, we investigate theeffects on the $\Omega_{ccc}$ particle production and spectra coming from themodification of the charm quark distribution due to the different size of thecollision systems comparing also to the case of thermalized charmdistributions. These results suggest that observation on the $\Omega_{ccc}$spectra and their evolution across system size can give information about thepartial thermalization of the charm quark distribution as well as to its wavefunction width.

Single and multi-charmed hadrons from Coalescence: yields and ratios along the system size scan at future LHC