a) Mean cluster energy shift versus transverse momentum for three different neutral pion merged cluster types from \gls{PYTHIA} 8 simulations with two jets in the final state at $\sqrt{s}=13$ TeV. Clusters with no overlapping particles within $R<0.05$ around the momentum vector of the $\pi^0$ on Monte Carlo generator level are shown in red, while clusters with 1--2 overlapping particles are shown in green and clusters with more than two overlapping particles in blue. An increasing overlap of particles shifts the cluster energies to larger values. b) Fractions of clusters from the three overlap types in the total cluster sample are shown in the same colors. The bands indicate the systematic variations on the fractions, which are applied in the toy simulation in order to obtain the final systematic uncertainty shown in the shaded gray band versus transverse momentum.