We track the evolution of the polariton state energies that emerge from coupling the ground- to-second singlet excited-state ( 0 S → 2 S) transition along with the energy of a nearby triplet state, which is the third triple excited-state (here denoted 3 T). We can see that outside the cavity, the energy of the 2 S state lies approximately 0.16 eV above the energy of the T state (see Figure right panel under zero coupling). Increasing the coupling strength monotonically increases the upper polariton energy and the energy of the 3 T state. While the lower polariton energy initially decreases with increasing coupling strength, we see that it starts to increase for values of λ y ≈ 0.012 atomic units. Nevertheless, we see that the ordering of the 3 T and singlet lower polariton state changes at around λ y = 0.016 atomic units. Such an inversion of singlet and triplet states was reported in TADF materials by Kena-Cohen and co-workers 90 in the collective strong coupling regime. Here we wish to point out a somewhat subtle point of distinction between the behavior of these states in the single molecule coupling regime discussed in this work and the collective coupling regime discussed in Ref. 90. Namely, in the collective coupling regime, the Hamiltonian contribution we call Ĥblc would experience a scaling with the number of molecules coupled to a mode, whereas the term Ĥdse would not experience this scaling, and this term will affect the Rabi splitting between the singlet polariton states, but will not affect the energetics of the triplet states due to the ab-sence of a transition dipole moment. However, the increase in the triplet energy we observe arises from the dipole self-energy term (which can couple to the light field through molecular dipole and quadrupole terms), which does not experience number scaling in the collective coupling regime.