The Claim Architecture Transition: Real Claims, Endogenous Essential Prices, and Budget-Feasible Support

TA-TR-2026-14 v1.2, a substantive corrective new version of DOI 10.5281/zenodo.22871209. A bounded theoretical working paper comparing household affordability, financing balance and physical allocation. It retains a conditional CES diagnostic and adds an endogenous essential-price equilibrium with different worker and owner expenditure shares. An exact minimum nonlabor-income tax for a service floor is distinguished from basket affordability and compensated utility. The revision corrects the predecessor aggregate-gap population condition and narrows the originality claim. Proofs, counterexamples and deterministic internal design checks are included; these are not empirical calibration or independent replication. Hongju Liu initiated the motivating concern, directed the work and authorized open deposit. GPT-6 Astra Pro substantially assisted source comparison, problem identification, model development, derivation, code, checks, drafting and packaging. The predecessor discloses GPT-5.6 Sol. No separate final human line-by-line review or external peer review is claimed. The work is adjacent first-party research, not Canon, not an amendment and not independent validation of the Trinity Accord. A dated research coordinate is not a claim to global priority. CC BY 4.0 applies to newly written material to the extent rights are held; third-party works retain their rights.