Name no controller verb in hints and drop its handover and paging reads, since the controller ended (issue 1126 B19)

Claude-Session: https://claude.ai/code/session_01NcbgfJ9Gum47zkFKWRaovL

node-tools/internal/console/node_argument_test.go

@@ -11,9 +11,9 @@ import (
 // 2026-10-05 the controller's push was described as taking nothing, and a push naming one machine
 // ran as a push of every machine behind.
 func TestAMeshSeatsNodeIsItsOwnArgument(t *testing.T) {
-	push := Tool{Module: "mesh-controller", Name: "push", Seat: true, Scope: "mesh",
+	push := Tool{Module: "mesh-placement", Name: "push", Seat: true, Scope: "mesh",
 		Input: json.RawMessage(`{"type":"object","properties":{"node":{"type":"string"},"behind":{"type":"string"}}}`)}
-	mesh := target{Address: "mesh-controller.push", Tool: push, Seat: true}
+	mesh := target{Address: "mesh-placement.push", Tool: push, Seat: true}
 
 	props := schemaAsPassed(mesh)["properties"].(map[string]any)
 	if _, has := props["node"]; !has {