[Connector API][Doc] Add info about required privileges (#3721)

* [Connector API][Doc] Add info about required privileges

* Update docs/overlays/elasticsearch-shared-overlays.yaml

Co-authored-by: Liam Thompson <[email protected]>

---------

Co-authored-by: Liam Thompson <[email protected]>
(cherry picked from commit bce4f27)

Author: 2 people

docs/overlays/elasticsearch-shared-overlays.yaml

@@ -41,6 +41,8 @@ actions:
             
             
             This API provides an alternative to relying solely on Kibana UI for connector and sync job management. The API comes with a set of validations and assertions to ensure that the state representation in the internal index remains valid.
+
+            This API requires the `manage_connector` privilege or, for read-only endpoints, the `monitor_connector` privilege.
           externalDocs:
             url: https://www.elastic.co/guide/en/elasticsearch/reference/master/es-connectors-tutorial-api.html
             description: Check out the connector API tutorial