# 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.