Bell derivations rest on locality, determinism, and measurement independence. Hall [2] pricedthe third assumption exactly for the singlet state: (√2 − 1)/3 ≈ 13.81% of measurementindependence must be surrendered for a local deterministic model to reproduce all singletcorrelations. We extend that program to multipartite stabilizer scenarios and compute theexact minimum measurement dependence required to reproduce the full faithful statistics ofGHZ/Mermin experiments — the optimal-model problem Hall posed and left open in 2011,having priced the tripartite perfect correlators alone at 1/3 [11]: F(3) = F(4) = 1/3, F(5) = F(6)= 2/5, F(7) = F(8) = 4/9, F(9) = F(10) = 8/17, F(11) = F(12) = 16/33, F(13) = 32/65 [LPEXACT, two-machine verified], with hand proofs at n = 3, 4; the reduction theorem showsthe faithfulness constraints are free, so Hall’s correlator-only tripartite threshold is promotedto the faithful value, and everything at n ≥ 4 is new. All eleven points obey the closed law F =R/(2(R+1)), with R = 2^⌊(n−1)/2⌋ the Mermin violation ratio [15]; a proven combinatoriallower bound (Theorem 5) is tight on every computed core and homogeneous family; and auniversal ceiling F ≤ 1/2 [PROVEN] shows the statistics never require totalsuperdeterminism — a faithful model surrendering no more than half exists at every size. Theoptimal hidden-variable densities have a closed physical form: uniform measures on thecontextual ground states of the prepared state’s frustrated stabilizer Hamiltonian — aninheritance principle confirmed out-of-sample on cluster states. The landscape is glassy(energy is spectral, supported on stabilizer characters) and provably beyond any pairwiseinteraction. We then pose the supply question as an open race: every published lawfulmeasurement-dependence program — invariant-set theory, cellular-automaton interpretations,future-input dynamics, all-at-once retrocausality, and the displacement-condensate frameworkof the present authors — is graded against this one answer key, steelmanned in its ownformalism, with several opening calculations executed here on rivals’ behalf. The condensatemechanism’s consolidated derivational debt is paid in-model: under exact U(1) conservationwith no external phase reference, a collective emission leaves a superselected two-branchrecord whose coherence support equals the prepared state’s stabilizer group, forcing theeffective energy’s term content to coincide with the required Hamiltonian’s — winding-ncoherence amplitude 1/2 exactly, partial-winding contamination identically zero, residualexposures quantified against known physics, and one named test (the continuum finite-β vise)that could kill it. Operationally, the floors are counterfeiting thresholds for multipartite deviceindependent certificates. Version 1’s central numerical claim is withdrawn and replaced by aprinciple; the correction is documented in Part 0. Every tagged result is reproducible from thelinked repository in under one minute.