Conditional inference scheme. This figure shows how the output parameters describing the IMF and the SFH were derived conditioned to the ingredients of the MSs and, more particularly, to the two SEMs considered in this work. Read Sect. 3.2 for a more detailed description of the process. Besides considering two different SEMs, we also ran BGM FASt on MSs built with two different thick disc SFHs. Considering all combinations (two SEMs and two thick disc SFHs), we have in total four MSs over which we performed the BGM FASt executions (see Tables 1 and 2).