The previous paper of this series extracted, on every admissible irregular chart of a bounded ADE family, the full local wild packet carried by coordinate-free renormalized tail orbits: the ramification orders, Poincar\'e ranks, formal exponential factors, nilpotent logarithmic residues, sectorial regular parts, and constant Stokes jumps. What remained open was the global irregular problem. Local wild packets live on sectors, while the genuine geometric object is topological and global: a filtered Stokes local system on the real oriented blow-up of the boundary, together with its wild character data and tau-line descent. A referee can therefore ask the natural next question immediately: does the orbit determine the global wild Riemann--Hilbert object, or only chartwise sectorial fragments? This paper answers that question in a sharply delimited but strong regime. We remain within bounded ADE miniversal families and coordinate-free smooth simple-pole branch models. On a fixed admissible irregular cover we assume normal-crossing boundary, one active wild block per boundary component, commuting formal types on intersections, and generic anti-Stokes separation. In that setting the renormalized tail orbit determines the global wild Riemann--Hilbert data. The first main theorem upgrades the chartwise sectorial packets to a canonical filtered symplectic Stokes local system on the oriented blow-up of the admissible cover. The formal exponential type, logarithmic residues, Stokes factors, and tau multipliers are shown to be orbit invariants; overlap gauges are constant and satisfy exact Cech cocycle laws. The second main theorem constructs a finite wild character atlas. After choosing a base sector and a finite loop skeleton, the entire moduli problem is encoded by finitely many Stokes factors, interior transport matrices, and tau multipliers subject to explicit boundary relations. The orbit therefore determines a point in a rational wild character space. The third main theorem is a global wild Riemann--Hilbert/Torelli theorem: a normalized reference sector together with the orbit-determined wild character point reconstructs the full irregular quantum packet on the admissible cover, uniquely up to primitive scalar gauge and blockwise filtered symplectic conjugacy. Thus the orbit controls not only formal type and sectorial asymptotics but the full global irregular local system. The fourth main theorem gives a quantitative finite-polygon detector. On a fixed compact design of sectorial rays and polygonal loops, finitely many orbit probes over a bounded observation window asymptotically recover the truncated wild character coordinates with error \ \! (N^-1/p_*+N+N+N), \ where \ (p_*\) is the maximal active Poincar\'e rank, \ (N\) is the discretization defect, \ (N\) the model error, and \ (N\) the measurement floor. The theorem is explicitly local and finite-horizon; it is not claimed as a globally conditioned arbitrary-noise algorithm. Conceptually, the paper closes the gap between local wild asymptotics and global irregular geometry. In the stated bounded regime, renormalized tail orbits determine the Stokes local system, its wild character coordinates, and the global irregular packet obtained by the Riemann--Hilbert correspondence.
Mohammad Abu-Ghuwaleh (Tue,) studied this question.