Various vdW-inclusive functionals have been proposed to address the limitations of traditional XC functionals in describing vdW interactions in TMDs. The TS method, introduced by Tkatchenko and Scheffler (2009), has been widely used to accurately describe vdW interactions in various systems, including TMDs. Additionally, Grimme's DFT-D method has been applied to investigate the structural and electronic properties of TMDs, demonstrating improved agreement with experimental data . The vdW-DF method, developed by Dion et al. , combines the non-local correlation energy of the vdW interactions with the GGA functional and has shown promising results in describing the interlayer interactions in TMDs .