Global Semisimple Quantum Monodromy from Coordinate-Free Renormalized Tail Orbits:\ Universal-Cover Closure, Braid-Group Descent, and Finite-Cover Recovery

The previous paper of this series reconstructed, on every simply connected semisimple chamber of a bounded ADE miniversal family, the full local semisimple Givental--Teleman package seen by coordinate-free renormalized tail orbits. What remained open was the global semisimple problem: how those local quantum packets glue across the semisimple locus and what monodromy survives around the discriminant. Within the same sharply delimited regime -- coordinate-free smooth simple-pole branch families, a finite bounded ADE candidate list, and the semisimple complement of the discriminant -- the present paper proves that the orbit determines the global semisimple quantum geometry. First, the locally reconstructed semisimple packets glue uniquely on the ordered universal cover to a single global packet \[ { Q}_Σ=( u,Δ,Ψ, R,τ,,). \] Second, every deck transformation \(γ\) acts by a unique triple \[ ρ_Σ^{}(γ)=(b_γ,K_γ,χ_γ) ∈ (μ_Σ ^+μ_Σ)× ^×, \] where \(b_γ\) is the braid carried by the reordered canonical idempotents, \(K_γ\) is a constant upper-triangular symplectic loop, and \(χ_γ\) is the tau-line multiplier. This gives a genuine global semisimple quantum monodromy representation and descends the ancestor theory projectively to the semisimple base. Third, a normalized fiber of the universal-cover packet together with \(ρ_Σ^{}\) determines the entire global semisimple quantum package, up to primitive scalar gauge and braid-conjugation. Fourth, on a fixed compact semisimple set with a finite contractible chamber cover, finitely many scalar probes over a bounded observation window \(n=N,,N+J-1\) asymptotically recover the chamber adjacency data, braid words, tau multipliers, and truncated monodromy representation with error \[ \!(N-1/h_Σ+δ_N+η_N). \] The reconstruction theorem is stated explicitly as a local finite-horizon asymptotic result; it is not claimed to be a globally conditioned arbitrary-noise algorithm. A conceptual dichotomy runs through the paper. In sparse semisimple regimes one may have \(K_γ=I\) for every loop, so the global transport is purely braid-permutational up to a tau character. The genuinely new layer begins when some \(K_γ≠ I\): then the orbit detects quantum monodromy invisible from chamberwise canonical coordinates and metric weights alone. We do not treat non-semisimple continuation through the discriminant, higher-order poles, or non-ADE families. Within the bounded semisimple ADE setting, however, the present paper upgrades local Givental--Teleman reconstruction to global semisimple quantum monodromy: universal-cover closure, braid-group descent, tau-line gluing, and finite-cover recovery from renormalized tail orbits.