[DOCS] Updates README.md

Author: picandocodigo

README.md

@@ -1,8 +1,7 @@
 # Elastic Transport
-[![8.1 tests](https://github.com/elastic/elastic-transport-ruby/actions/workflows/tests.yml/badge.svg?branch=8.1)](https://github.com/elastic/elastic-transport-ruby/actions/workflows/tests.yml)
 [![Run tests](https://github.com/elastic/elastic-transport-ruby/actions/workflows/tests.yml/badge.svg?branch=main)](https://github.com/elastic/elastic-transport-ruby/actions/workflows/tests.yml)
 
-This gem provides a low-level Ruby client for connecting to an [Elastic](http://elastic.co) cluster. It powers both the [Elasticsearch client](https://github.com/elasticsearch/elasticsearch-ruby/) and the [Elastic Enterprise Search](https://github.com/elastic/enterprise-search-ruby/) client.
+This gem provides a low-level Ruby client for connecting to an [Elastic](http://elastic.co) cluster. It powers the [Elasticsearch client](https://github.com/elasticsearch/elasticsearch-ruby/) and other Elastic projects.
 
 In the simplest form, connect to Elasticsearch running on `http://localhost:9200` without any configuration:
 
@@ -14,9 +13,9 @@ response = client.perform_request('GET', '_cluster/health')
 # => #<Elastic::Transport::Transport::Response:0x007fc5d506ce38 @status=200, @body={ ... } >
 ```
 
-**Refer to [the official documentation on Elastic Transport](https://www.elastic.co/guide/en/elasticsearch/client/ruby-api/current/transport.html).**
+**Refer to [the official documentation on Elastic Transport](https://www.elastic.co/docs/reference/elasticsearch/clients/ruby/transport).**
 
-**Refer to [Advanced Configuration](https://www.elastic.co/guide/en/elasticsearch/client/ruby-api/current/advanced-config.html) to read about more configuration options.**
+**Refer to [Advanced Configuration](https://www.elastic.co/docs/reference/elasticsearch/clients/ruby/advanced-config) to read about more configuration options.**
 
 ## Compatibility