Additionally, the cavity itself provides intermolecular interactions through the DSE term in the Hamiltonian and thus provides a competition between bare molecular interactions and cavity-mediated molecular interactions. These cavityinduced effects to non-bonded interactions (i.e., van der Waals, hydrogen bonding, etc.) was directly explored with the high-level scQED-CCSD approach for two molecules. Though, for the extension to the many-molecules, including all molecules in the self-consistency is difficult and scales poorly with the number of increasing molecules. Hence, one should turn toward an approximate model which captures the leading-order physics, in the same sense as the parameterized QED approach aims to do (see Sec. 3.1).