{
  "completed_step": "C381",
  "next_proposed_step": "C382",
  "question": "Compare J-then-P with P-then-J along the six admitted consecutive source-edge pairs, using their actual moving pivots. Derive the exact affine condition for equality, contrast it with fixed pivots, and identify any reduced coordinate description without extending the source domains.",
  "reason_selected_after_current_result": "The source-path obstruction limits a global529 action, but the coordinated pivot shifts may still give an exact local composition law. Testing the operator order can identify that surviving structure precisely.",
  "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."
}