A pre-registered conditional shape test for dark energy from the Geometric Unity reconstruction

This preprint prospectively registers a post-DESI-DR2 conditional test of one effective dark-energy realization associated with the Geometric Unity reconstruction program. The registered object is the union of three one-parameter curves for unresolved mass assignments M²/H₀² = 3, 7, and 8, with correlated predictions for the equation-of-state history, CPL projection, curvature residual, background expansion, and BAO distance ratios. The release publishes branch-specific calibration segments, extended scoring domains, machine-readable outputs, a deterministic emitter, numerical convergence receipts, and construction-scoped failure rules based on joint-posterior intersection with the full branch union. The scientific grade is CONDITIONAL and exploration-tier. The split fraction and absolute dark-energy scale are not predicted, a healthy covariant accelerating realization remains open, generic thawing models overlap the qualitative region, and DESI DR2 remains adverse pre-freeze evidence with no prospective confirmation credit.