We note that at all times when the TD-ADGA integrals are computed, we use the fitted PES obtained by fitting to all calculated SPs. This means that the potential term in the TD-ADGA integrals (Eq. 37) are not continuously updated but instead the most accurate potential is used. This is done because a continuous update of the potential in the evaluation of the TD-ADGA integrals will lead to changes in the calculated integrals that are artificial in the sense that the change does not depend on the physical state of the system but only on how we chose to update the PES during the dynamics. Further, the extra change induced in the integrals by the change in the potential might lead to the TD-ADGA algorithm requesting more SPs than is actually required for converging the PES for the dynamics.