{
  "completed_step": "C371",
  "next_proposed_step": "C372",
  "question": "Derive the primitive integer form of equal gains under P=70/69 and J=300/299, then bind its scale to the sourced 460-year separation and the existing 529 rectangle. Keep the derivation conditional on the tested agreement criterion.",
  "reason_selected_after_current_result": "The unique intersection exposes a compact arithmetic structure. Proving its integer form can show exactly which part explains 529 and which part still depends on source and comparison choices.",
  "executed": false,
  "authorization_remaining": 2,
  "fixed_scope": "Mirror/529; regular Gears Noah/Shem/Flood only; SP companion local. Fixed source inputs, no canonical/graph changes."
}