Equation-of-motion coupled-cluster (EOM-CC) is a family of ab initio wave function methods for electronic excited (EE), ionized (IP) or electron attached (EA) states, taking into consideration the effects of orbital relaxation and electron correlation. These meth-ods have been extended to core-level calculations with core-valence separation (CVS) and restricted energy window approaches. However, EOM-CCSD methods are limited by their high computational cost scaling and are typically applied only to model systems. Achieving improved accuracy often requires incorporating triples and higher-order excitations and utilizing large basis sets, thereby increasing computational demands. Several lower-scaling approaches have been developed for EOM-CCSD, including the widely used natural orbital-based methods FNO-EOM-CCSD and DLPNO-EOM-CCSD. In these approaches, the orbital space is truncated based on criteria such as the natural orbital occupation number or pair-pair interaction energy. Since core orbitals are localized, and core-holes are primarily influenced by neighboring atoms, a method that truncates the orbital space based on the locality of the core-hole may be suitable.