fix(subagent-codex): await managed tree exit

docs/config-catalog.md

@@ -1949,8 +1949,8 @@ export interface Config {
    * requires the provider's `depthLimit` capability (mount fails loud
    * otherwise). The provider checks the calling agent's current depth at every
    * start; the tool remains model-visible so runtime policy owns rejection.
-   * `'provider-managed'` is for an out-of-process provider (ACP) whose
-   * recursion budget belongs to the child harness's own deployment.
+   * `'provider-managed'` is for an out-of-process provider whose recursion
+   * budget belongs to the child runtime or its own deployment.
    */
   maxDepth?: number | 'provider-managed'
 }