In short, the peak in the photon frequency-dependent rate profile results from a combined effect of energetic and kinetic factors. Firstly, the photon frequency should match a vibrational transition energy to enable the exchange of energy between the molecular vibration and the cavity mode. The broadening of the peak is determined by the systemenvironment coupling strength. Secondly, the molecular vibrational transition should be both kinetically allowed and efficient. Thirdly, the cavity photon bath also plays a crucial role in thermalizing the cavity mode. A recent study has observed a turnover in the reaction rate with increasing cavity lifetime τ c inside a resonant cavity. It is interesting to explore in our future work whether this turnover behavior is related to the characteristic frequency of the cavity photon bath.