Move clients link

docs/reference/intro.asciidoc

@@ -31,6 +31,7 @@ Refer to our https://www.elastic.co/customers/success-stories[customer success s
 The Elastic Stack refers to the suite of products enabled by {es}:
 
 * https://www.elastic.co/guide/en/kibana/current/index.html[Kibana]. A UI for visualizing and exploring data in {es}.
+* https://www.elastic.co/guide/en/elasticsearch/client/index.html[Client libraries]. Work with {es} in your preferred programming language.
 * https://www.elastic.co/guide/en/logstash/current/introduction.html[Logstash]. A server-side data processing pipeline for ingesting and transforming data from multiple sources and indexing into {es}.
 * https://www.elastic.co/guide/en/fleet/current/fleet-overview.html[Fleet and Elastic Agent.] Elastic Agents is a single, unified way to add monitoring for logs, metrics, and other types of data to a host. Fleet is a central place to configure and monitor your Elastic Agents.
 * https://www.elastic.co/guide/en/beats/libbeat/current/beats-reference.html[Beats]. Lightweight data shippers for sending data from edge machines to {es}.
@@ -65,7 +66,6 @@ If you just want to get started quickly with a minimal local setup, refer to <<r
 
 * <<getting-started, Quickstart>>. A beginner's guide to deploying your first {es} instance, indexing data, and running queries.
 * https://elastic.co/webinars/getting-started-elasticsearch[Webinar: Introduction to {es}]. Register for our live webinars to learn directly from {es} experts.
-* https://www.elastic.co/guide/en/elasticsearch/client/index.html[Client libraries]. Choose from a variety of official and community-supported clients to work with {es} in your preferred programming language.
 * Visit Elastic Search Labs for tutorials that AI-powered search using the latest {es} features.
 ** Follow our tutorial https://www.elastic.co/search-labs/tutorials/search-tutorial/welcome[to build a hybrid search solution in Python].
 ** Check out the https://github.com/elastic/elasticsearch-labs?tab=readme-ov-file#elasticsearch-examples--apps[`elasticsearch-labs` repository] for a range of Python notebooks and apps for various use cases.