  The Two Higgs Doublet model extended with a complex scalar singlet (2HDMS) is
a well-motivated Beyond Standard Model candidate addressing several open
problems of nature. In this work, we focus on the dark matter (DM)
phenomenology of the complex scalar singlet where the real part of the complex
scalar obtains a vacuum expectation value. The model is characterized by an
enlarged Higgs spectrum comprising six physical Higgs bosons and a pseudoscalar
DM candidate. We address the impact of accommodating the 95 GeV excess on the
2HDMS parameter space and DM observables after including all theoretical and
experimental constraints. Finally, we look into the prospects of this scenario
at HL-LHC and future lepton colliders for a representative benchmark.
