[Backport 8.15] Add Connector API (#2623)

* Add Connector API (#2621)

(cherry picked from commit 928bdb7)

* Fix Connector API

---------

Co-authored-by: Quentin Pradet <[email protected]>

Author: github-actions[bot]

Diff for: docs/sphinx/api.rst

@@ -21,6 +21,7 @@ arguments are required for all calls.
    api/cat
    api/ccr
    api/cluster
+   api/connector
    api/dangling-indices
    api/enrich-policies
    api/eql

Diff for: docs/sphinx/api/connector.rst

@@ -0,0 +1,9 @@
+.. _connector:
+
+Connector
+---------
+.. py:module:: elasticsearch.client
+   :noindex:
+
+.. autoclass:: ConnectorClient
+   :members:

Diff for: elasticsearch/_async/client/__init__.py

@@ -46,6 +46,7 @@
 from .cat import CatClient
 from .ccr import CcrClient
 from .cluster import ClusterClient
+from .connector import ConnectorClient
 from .dangling_indices import DanglingIndicesClient
 from .enrich import EnrichClient
 from .eql import EqlClient
@@ -433,6 +434,7 @@ def __init__(
         self.autoscaling = AutoscalingClient(self)
         self.cat = CatClient(self)
         self.cluster = ClusterClient(self)
+        self.connector = ConnectorClient(self)
         self.fleet = FleetClient(self)
         self.features = FeaturesClient(self)
         self.indices = IndicesClient(self)