The SCG-HMH Enhanced Multi-Axis Rotor-Stator Architecture introduces a compact 4× stator design that upgrades the rotor-stator subsystem of the SCG-HMH regenerative cryogenic power-generation framework while preserving the original closed LN₂ cycle, third-plasma MHD/induction extraction, 38 coupled amplifiers, and all master derivatives unchanged. The architecture consists of two axial stators (top and bottom annular faces) and two radial stators (inner and outer concentric rings) that together form a true three-dimensional magnetic cage surrounding a single central flux-pinned high-temperature superconducting (HTS) levitating rotor of precise dimensions 0.2 m diameter × 0.4 m height. Closed-form analytical expressions are derived for the complete 3D magnetic field (rotor plus corset-stator contributions), azimuthal and axial plasma velocity profiles, MHD power extraction, net electrical output, and combined conductive–radiative cooling terms. A refined multi-parameter sensitivity analysis—accounting for N₂ mass flow rate, plasma conductivity σ, rotor speed (120 000–200 000 RPM), stator area, and hot-side temperature—demonstrates that a single module achieves net electrical outputs up to 11.25 MW under realistic high-end parameters. At Gigafactory scale (1 800 modules occupying 1 ha), continuous baseload power scales from 4.86 GW to 20.25 GW, with factory runaway COP reaching the millions× range through super-linear parasitic collapse and grid-heat recycling, while every module independently remains within the published self-enforcing Safety Envelope. The upgrade is purely geometric, introduces no new parasitics, and substantially improves plasma confinement, recombination suppression, passive cooling synergies (>13× baseline N₂ recirculation), and multi-axis EMF ionization efficiency. This refinement constitutes the highest-leverage advancement within the SCG-HMH framework, unlocking multi-megawatt module performance and multi-gigawatt factory-scale baseload generation from low-grade waste heat. Keywords: SCG-HMH, multi-axis stator generator, cryogenic plasma, waste-heat recovery, regenerative cycle, 3D magnetic cage, MHD power extraction, sensitivity analysis