The cavity polarization directions along the principle cartesian axes (X, Y, and Z) were taken as a benchmark from the previous work of Ref. 4; however, we point out that the use of these cartesian directions as "important" field polarization directions is a choice. In reality, choosing a useful, chemically relavent coordinate system is very difficult in general, and the effects of the cavity may not straightforwardly connect to our understanding of the chemistry of a certain molecule or reaction between molecules. With this in mind, we extend our exploration to an arbitrary cavity field polarization vector ê = ê(ϕ, θ), where ϕ and θ are the azimuthal and polar angles, respectively, defined schematically in Fig. . Fig. and Fig. show the change in TS barrier energy ∆E ‡ (ϕ, θ) = E ‡ (ϕ, θ) -E ‡ for the endo and exo isomer, respectively, with light-matter coupling strength A 0 = 0.3 a.u. and cavity frequency ω c = 1.5 eV. Here, E ‡ (ϕ, θ) is the polaritonic ground state TS barrier energy and E 0 is the bare electronic ground state TS barrier energy (equivalent to E ‡ with A 0 = 0.0 a.u. and ω c = 0.0 eV). The negative regions indicate a reduction in the TS barrier height inside the cavity, while the red regions show an increase to the TS barrier height.