Three-particle cumulants for \pppCF (left panel, blue square symbols) and \ppLCF (right panel) triplets obtained by subtracting the lower-order contributions from the measured three-particle correlation functions shown in Fig.~\ref{fig:nMM}. The \pppCF cumulant in the left panel is further corrected for the feed-down contributions from decaying particles and represents thus, the cumulant for the correctly identified primary protons (see Section~\ref{sec:decomposition} for details). The dashed lines correspond to the assumption that there are no genuine three-body correlations ${c}_3 (Q_3) = 0$. The red open circles in left panel represent the cumulant for \pppbarCF triplets (for more details see the main text).