Time evolution of the cumulative energy injected by the AGN (top) and the warm and cold (solid bottom) and warm gas only (dotted bottom) gas mass over time. Grey shaded areas show the statistical variation of CRc_dsh from Appendix B. The case with the lowest resolution, CRc_dsh_1kpc, requires significantly more energy to balance cooling flows at both early and late times, and produces predominantly warm gas. All three runs with higher resolution show good convergence in the cumulative AGN energy and total cold and warm gas. A higher resolution leads to more cold gas vs warm gas early on.