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Based on what we have achieved previously in [1] we present a dynamical dark energy model motivated by holographic principles and an anomalous running of the effective spacetime dimension. The model features a redshift-dependent infrared cutoff parameter α(z) derived from a scalar-tensor action with a conformal anomaly term originating from a TeV-scale sector. After fixing the ultraviolet scale to LHC energies and the anomaly coefficient to unity, the model contains only two free parameters: a transition redshift zc and a sharpness parameter β. The effective dark energy equation of state weff(z) is derived from first principles, yielding a closed-form expression that generalizes standard holographic dark energy. The model naturally suppresses matter growth at low redshifts, reducing σ8 from 0.811 to 0.769 when the late-time Hubble constant H0 = 73 km/s/Mpc is used, thereby resolving the S8 tension while simultaneously easing the H0 tension. We present numerical solutions, convergence checks, and a comparison with ΛCDM and constant-α models. Therefore, we will explain how the model is theoretically consistent, phenomenologically viable, and falsifiable with upcoming Stage-IV dark energy surveys.