Combine PR #3 shared exclusions with retained totals and stage sharing

[dleen]

Combine the shared-exclusion producer from #3 with retained exclusion totals and stage-1/3 bank sharing. At h=24, this reduces auxiliary roles to 90,950 and certifies complex saving 2.97e-8, about 2.12× #3's 1.4e-8. The bit producer remains unchanged, so the conditional headline stays κ = 591/10¹² > 2⁻³¹; the combination supplies additional complex headroom.

scripts/complex_circuit.py is copied verbatim from eumemic's Claude-assisted #3 at dfe5b818aad4d386cb5dd7d76df108088107765d. The composition retains existing one-point exclusion sums and the global sum, uses grouped low/full scatter, and shares stage-1/3 auxiliary banks. The larger global coefficient is implemented as half-sized passes: every added scalar gate is charged, while repeated equal-frame incidences add zero rank. Arbitrary dirty scratch, both frame directions, and endpoint corrections are preserved.

The focused changes include the exact producer/certificate, regression checks, Markdown composition argument, and regenerated alternative manuscript patch. A separate proposition binds the new constants; the preceding rectangle proof/PDF remains available as a historical variant. The pinned upstream source is unchanged. Lean research and agent exploration are excluded.

Validation: make verify passed 168 tests and all patch checks. After cleanup and the proof-text correction, all five focused tests pass; the combined certificate and patch reproduce byte-for-byte, every recorded source hash matches, and the imported #3 builder is byte-identical. Full h24 checks cover side coefficients, retained integer multiplicities and both compiled frame directions; h8 checks cover dirty-scratch basis inputs, normalized scatter coefficients and all physical phase edges. An independent agent review checked the composition and gate accounting. The new TeX/PDF was not rebuilt.

This remains conditional on the retained fixed-tape, compact-control and analytic interfaces, rather than a full formal multiplication theorem or a runtime benchmark. Prepared with substantial Claude and OpenAI Codex assistance; #3's producer is credited to eumemic, and grouped retention/stage sharing to dleen.

[Mister-Meeseeks]

Integrated and retained on main in 377e2bd. Thank you @dleen for this contribution.

The complete original source tree at 8c225e619168c0141dcfcba3b68a65bbed6a8729 is preserved in the historical source package, with original notices and predecessor credit. It can be extracted and replayed independently. Historical release wrappers do not overwrite current pinned suppliers.

Reviewed scope: Retained-total complex circuit: full h24 coefficients, role frames and rational guards; small dirty-state and both physical phase directions; exact historical 591/10^12 assembly. Original PDF is stale and retained only as history.

The batch review and per-file dispositions cover every original changed path. Local focused checks passed; regenerated artifacts match the submitted sources. Attribution is also recorded in CONTRIBUTORS.md. This is integration of historical research and finite evidence, not a new selected κ or full formal verification of inherited tape/analytic interfaces. Linux replay jobs are tracked separately.