Limited mixing of the two GC populations: Radial probability density distributions of GCs for the total population (in situ + ex situ) in a dwarf galaxy with a mass ratio of 10³. For low values of m₂₂, the total distribution exhibits a clear FDM signature with a bimodal shape, characterized by two distinct peaks and a gap between them. This feature reflects the limited mixing between the in situ and ex situ populations induced by the FDM DF and the DM core. As m₂₂ increases, this bimodality progressively disappears and the distribution converges towards the CDM case, indicating enhanced mixing of the two populations.