fix(rectification): persist refresh attempts and map collect focus kinds (BUG-656/657/658)

Empty engine refresh now records an already_answered attempt so GET can leave wait-to-narrow; collect kinds map onto the table CHECK; remaining candidates drive probe refresh.

Co-authored-by: Cursor <cursoragent@cursor.com>

scripts/rectification/refinement_packet.py

@@ -705,11 +705,21 @@ def build_refinement_packet(
         prospective_event_windows,
     )
     grid_times = list(built.get("candidate_times") or candidate_times)
+    refresh_columns = [
+        str(item).strip()[:5]
+        for item in (column_times or request.get("column_times") or [])
+        if str(item).strip()
+    ]
+    probe_times = (
+        refresh_columns
+        if request.get("refresh_probes") is True and refresh_columns
+        else grid_times
+    )
     bundle = discriminating_event_probe_set(
         request,
         built,
         scan=scan,
-        candidate_times=grid_times,
+        candidate_times=probe_times,
         representative_time=representative_time,
         precision_current=str(stage.get("current") or "") or None,
     )
@@ -772,4 +782,9 @@ def build_refinement_packet(
         "prospective_probes": prospective,
         "unique_minute_claim": False,
         "confirmation_allowed": False,
+        **(
+            {"refresh_result": "new_probes" if probes else "no_new_probes"}
+            if request.get("refresh_probes") is True
+            else {}
+        ),
     }