In a partitioned QM/MM system, in which the QM wavefunctions are expanded in PWs, a real-space grid is used to represent the electron density of the QM subsystem, whereas the electrostatic effect of the environment (MM subsystem) is described through effective point charges (and higher multipoles) at MM sites. Polarizable degrees of freedom (such as e.g., induced dipoles) are added to MM sites to enable mutual polarization between the two subsystems, for instance, in the AMOEBA force field. When computing the interactions between QM and MM subsystems, overlaps between the QM density on the real-space grid and MM sites, like the one illustrated in Figure , can lead to spurious artifacts or even wave function optimization failure. This is mainly due to the unscreened interactions between QM electron density and nearby positively charged MM ions located within the QM supercell, which cause the electron density to "spill out" when the MM ion approaches or overlaps with QM density real-space grid points. This effect is commonly referred to as electron spill-out and roots in the absence of Pauli repulsion when electron density is interacting with classical MM sites for which electronic exchange effects are only mimicked in the form of classical, atom pairwise van-der-Waals interactions. A possible solution to this issue is the addition of pseudopotentials on MM sites that are close to the QM region, which was proposed by Marefat Khah et al. Two other ways to deal with emerging electron spill-out are to include repulsive (non-electrostatic) terms that are missing in the QM/MM description due to the lack of an explicit exchange-correlation treatment for inter-subsystem interactions. This model requires capturing the quantum mechanical repulsion description of the MM subsystem at the QM level, which is an accurate but costly approach. Another way to deal with electron spill-out is by applying an ad hoc damping/smearing of the QM/MM interactions that introduce the screened potential, thus indirectly recovering some Pauli repulsion. Examples of such approaches include Gaussian smearing of the point multipoles or the use of a modified Coulombic interaction tensor which has been proposed by Laio et al. and used in a point-charge based electrostatic embedding QM/MM scheme in combination with delocalized PW basis sets. This straightforward yet successful approach has also been applied within the MiMiC framework, yielding stable QM/MM wave function optimizations and multiscale QM/MM dynamics with electrostatic embedding. In this study, we extend the theoretical formalism used for QM/MM electrostatic embedding with PWs to the polarizable QM/MM embedding model combined with the induced point-dipole-based multipolar AMOEBA polarizable force field. We apply the modified Coulombic interaction tensor 24 as a cheap and straightforward way to mitigate electron spill-out. To be more precise, we delve into a combination of PW-based KS-DFT/AMOEBA to describe our multiscale system. The AMOEBA force field has already been successfully coupled to KS-DFT using atom-centered basis sets in the work of Loco et al. and further extended to the multiscale molecular dynamics by adding the QM/MM energy gradients. A QM/AMOEBA implementation involving strictly localized orbitals expressed in a set of periodic sinc basis functions equivalent to PWs was previously proposed. To the best of our knowledge, the present KS-DFT/AMOEBA approach is the first functional AMOEBA coupling using PW basis sets. Thus, we propose a theoretical framework that makes the KS-DFT/AMOEBA formalism compatible with delocalized, originless basis sets that allow for systematic ways of converging to the complete basis set limit, avoid basis set superposition errors, and do not introduce Pulay forces.