In Ref. 14, this theoretical framework of dynamical caging was extended to two competing reactions coupled to the cavity, motivated to provide a theoretical explanation of the observed VSC mode-selectivity in Fig. . In that work, two competing reaction pathways that have nearly identical barrier heights but different barrier frequencies are constructed as the model systems, both of which have individual dipole that couples to a common cavity mode. The work finds that the dynamics of the cavity photon mode leads to a cavity frequency-dependent dynamical caging effect of a reaction coordinate, resulting in suppression of the rate constant. In the presence of competitive reactions, it is possible to preferentially (and selectively) cage a reaction coordinate when the cavity frequency matches one barrier frequency of two competing reactions, resulting in a selective slow down of the reaction between two highly competing ones. 14 Fig. presents several representative data points. In particular, it demonstrates that when using a high-frequency off-resonant cavity (ω c is larger than all vibrational frequencies, such as ω c > 1600 cm -1 in the current model), the selectivity is the same as the original selectivity without the cavity (effectively ω c = 0). Further, the reverted preference occurs during a range of cavity frequencies, even though the maximum reduction of the rate constants for two competing reactions occurs at two specific cavity frequencies. These theoretical results provide a new perspective to understand the recent VSC enhanced selectivities of competing reactions, such as the results presented in Ref. 4 (see key results in Fig. ). The results in Fig. closely resemble the basic feature of the experimental observation shown in Fig. .