Say "settled result" wherever the routing text still said "finished root"

The first review wave read the candidate and found four sentences that
described the door the way it was: the missing-selector error and the
pending-promote refusal told the model to name a finished root, the room
manifest's docstring said the predicate admits a settled root, and the
last-result lookup's docstring said a child is never the room's
continuation because the promote door refuses it. The handler continues any
settled result, a helper's included, and the hint offers roots only; the
sentences now say that. Wording only, no behaviour change.

Co-authored-by: Ouroboros <311266734+ouroboros-agent@users.noreply.github.com>

ouroboros/server_routing_context.py

@@ -249,10 +249,10 @@ def _cancel_state_facts(ctx: Any, task_id: str) -> Dict[str, Any]:
 def _project_routing_manifest(ctx: Any, project_id: str) -> Dict[str, Any]:
     """The room's bounded HINT for a "continue this work" decision: the project's
     recent ROOT results and the roots still live in it, each with the small typed
-    facts that separate the two choices - a finished root is promote's predecessor,
+    facts that separate the two choices - a settled root is promote's predecessor,
     a live one is ``steer_task``.
 
-    A hint, never the door: promote's predicate admits any settled root, listed
+    A hint, never the door: promote's predicate admits any settled result, listed
     or not, of any project (ch. 10), so this window may be bounded without
     deciding what the room can continue. Until it existed a room saw exactly ONE
     candidate, the registry pointer, so a room whose pointer had moved could not
@@ -281,7 +281,7 @@ def _not_a_root_result(row: Dict[str, Any]) -> bool:
 
 def _latest_project_task_result(ctx: Any, project_id: str) -> Optional[Dict[str, Any]]:
     """Newest ROOT task result bound to ``project_id`` (a child's is never the room's
-    continuation: the promote door refuses it, ``_is_child_result``) WITHOUT replaying the whole
+    last-result pointer: the hint offers roots only, ``_is_child_result``) WITHOUT replaying the whole
     store (DEVELOPMENT "Projection over replay"). The registry row's durable
     ``last_task_result_id`` pointer (stamped at project-task finalization) is
     read FIRST — one direct file fetch, immune to how many newer foreign

ouroboros/tools/control_routing.py

@@ -38,7 +38,7 @@ def _predecessor_selector_error(value: Any, tool_name: str) -> str:
     if value is _MISSING_PREDECESSOR_SELECTOR or value is None:
         return (
             f"⚠️ TOOL_ARG_ERROR ({tool_name}): predecessor_task_id is required; "
-            "pass an empty string for fresh work or the id of a finished root result to continue it"
+            "pass an empty string for fresh work or the id of a settled result to continue it"
         )
     return ""
 
@@ -126,7 +126,7 @@ def _predecessor_door_refusal(result: Dict[str, Any]) -> str:
     status = str(result.get("status") or "")
     if is_emitted_admission_stub(result):
         return ("the selected predecessor is a promote whose admission is still pending, not a "
-                "result; read get_task_result on it, and name a finished root instead")
+                "result; read get_task_result on it, and name a settled result instead")
     if status not in SETTLED_STATUSES:
         return (
             f"the selected predecessor is still live (status {status or 'unknown'}); "

tests/test_promote_predecessor_door.py

@@ -459,7 +459,7 @@ def test_only_a_root_finalization_moves_the_projects_pointer(tmp_path):
 def test_the_self_heal_scan_never_offers_or_stamps_a_child(tmp_path):
     """The lookup's fallback scan is the pointer's SECOND writer: with no pointer
     yet and a child as the project's newest result, it answers with the newest ROOT
-    and stamps that, never the child the door would refuse."""
+    and stamps that, never the child the hint does not offer."""
     import os
 
     import server