Record gravity relift work before descent rejection

experiments/GRAVITY_DIRECTION_DIAGNOSTICS_2026-09-17.md

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+# Gravity work accounting on direction rejection
+
+The combined polynomial-enthalpy and reduced-gravity strategy checks descent
+twice: once when selecting the enthalpy repair, and again after lifting the
+repaired retained direction into gravity coordinates. A successful gravity
+relift performs real auxiliary work even when the second check rejects the
+direction before line search.
+
+Previously, the successful-relift diagnostics were copied only after the second
+check. Its early rejection could therefore leave solve counts, iteration counts,
+timings, and the last inner residual at their earlier linear-solve snapshot.
+The snapshot now occurs immediately after successful direction capture and
+before the final descent check. Linear-report coordinates retain their existing
+meaning; this changes no tolerance, direction, state, or acceptance decision.
+
+The immutable `b21fa40` rotating `positivity-reduced` artifact records 20 gravity
+solves and a positive final merit slope. Those counters can omit a successful
+last relift: they do not distinguish rejection during enthalpy repair from
+rejection after relifting. Its `direction_repairs` count also includes a chosen
+positive repair fraction whose candidate subsequently fails descent. Historical
+artifacts must retain these qualifications rather than being retroactively
+interpreted as complete work counters.
+
+The regression is a repeat of that bounded combined rotating case, checking
+unchanged accepted states and residual history while accounting for all
+successful relift work. No extra numerical fixture or solver change is needed.