The paper investigates whether the Next-to-Minimal Supersymmetric Standard Model (NMSSM) can simultaneously explain a correct dark matter relic density consistent with the latest results from the LZ experiment, the existence of an additional Higgs boson with a mass of approximately 95 GeV visible in the bb and γγ channels at LEP and the LHC, and the deviation of the muon anomalous magnetic moment from its Standard Model value. The study shows that this is possible for various dark matter annihilation mechanisms, including singlino-like and bino-like lightest supersymmetric particles (LSPs). The signal rates of the extra Higgs boson and dark matter detection rates are analyzed as functions of the dark matter mass and annihilation mechanism. The dark matter direct detection cross section may fall below the neutrino floor, making it difficult to detect. The masses of the lightest electroweakly interacting supersymmetric particles are typically not far above 100 GeV, but not excluded due to unconventional decays. The paper also discusses the implications of the observed excess in the bb, γγ, and ττ channels for the NMSSM. It shows that the NMSSM can accommodate an additional Higgs boson near 95 GeV with signal rates consistent with the observed excesses. The study uses the NMSSMTools-6.0.2 and micrOMEGAs_3 codes to scan the parameter space of the NMSSM. The results are presented in figures and benchmark points, showing the possible values of signal strengths and dark matter cross sections for different annihilation mechanisms. The paper concludes that the NMSSM allows for a consistent description of the observed phenomena, including the dark matter relic density, the muon anomalous magnetic moment, and the existence of an additional Higgs boson near 95 GeV. The study also highlights the challenges in detecting dark matter through direct detection experiments due to the potential for the cross section to fall below the neutrino floor.The paper investigates whether the Next-to-Minimal Supersymmetric Standard Model (NMSSM) can simultaneously explain a correct dark matter relic density consistent with the latest results from the LZ experiment, the existence of an additional Higgs boson with a mass of approximately 95 GeV visible in the bb and γγ channels at LEP and the LHC, and the deviation of the muon anomalous magnetic moment from its Standard Model value. The study shows that this is possible for various dark matter annihilation mechanisms, including singlino-like and bino-like lightest supersymmetric particles (LSPs). The signal rates of the extra Higgs boson and dark matter detection rates are analyzed as functions of the dark matter mass and annihilation mechanism. The dark matter direct detection cross section may fall below the neutrino floor, making it difficult to detect. The masses of the lightest electroweakly interacting supersymmetric particles are typically not far above 100 GeV, but not excluded due to unconventional decays. The paper also discusses the implications of the observed excess in the bb, γγ, and ττ channels for the NMSSM. It shows that the NMSSM can accommodate an additional Higgs boson near 95 GeV with signal rates consistent with the observed excesses. The study uses the NMSSMTools-6.0.2 and micrOMEGAs_3 codes to scan the parameter space of the NMSSM. The results are presented in figures and benchmark points, showing the possible values of signal strengths and dark matter cross sections for different annihilation mechanisms. The paper concludes that the NMSSM allows for a consistent description of the observed phenomena, including the dark matter relic density, the muon anomalous magnetic moment, and the existence of an additional Higgs boson near 95 GeV. The study also highlights the challenges in detecting dark matter through direct detection experiments due to the potential for the cross section to fall below the neutrino floor.