The Branch Beyond λ = 32.5: The Far-V₀ Branch Runs to λ = 40.0 on Reformed Machinery, and the Steepening's Gain Falls to 0.05

The far-V0 branch of the exponential rolling field is followed beyond paper #594's stated scan, on reformed machinery: the parent pipeline's float64 overflow at log V0 = 709.78 is removed by a log-form representation that never forms V0 or V, carrying the release through the ratios V/H2 and rho_m/H2 as stable logistic functions of log V - log rho_m. The reformed solver re-gates every exponential row of the parent chain digit-for-digit (Gates A-H on the parent solver, including #594's own nine rows, then Gate I in log form) before any new number is spent, and the stated scan (lambda 33.0 to 40.0 in steps of 0.5, search ceiling log V0 = 900, stated in advance from the trend value near 867 and from the reformed machinery's demonstrated headroom at 1000 and 1100) finds the branch at every lambda: its log V0 rising from 707.103 to 867.108, w0 to +0.955 and H0 to 75.09. It does not terminate inside the scan, and a census of every upward crossing finds exactly one at every lambda. The five release-line fits stand side by side (21.30 lambda - 25.57; 22.48 lambda - 38.46; 22.72 lambda - 43.32; 22.81 lambda - 45.69; 22.86 lambda - 47.24): the steepening is continuing but its gains have fallen 1.18, 0.24, 0.09, 0.05, and the line stands near a slope of 22.86. Quantum gravity NOT SOLVED; vacuum catastrophe NOT SOLVED.