Transit-timing variations of TOI-6041b in a three-planet model including the hypothetical 11 d planet. We adopted the same favorable configuration as in Fig. 5, with e_c = 0.3 and ω_c = 50^◦, and varied the eccentricity of the additional planet, e, from 0 to 0.4. The resulting curves show negligible differences, confirming that planet c likely is the dominant source of the observed TTVs in this configuration.