Add Rust client docs, Rust syntax highlighting (#2620)

* Add Rust client docs, Rust syntax highlighting

* Add Rust docs link to index.mdx

* PR feedback

Author: slvrtrn

docs/en/integrations/index.mdx

@@ -138,7 +138,7 @@ We are actively compiling this list of ClickHouse integrations below, so it's no
 |QuickSight|<QuickSightSVG style={{width: '3rem', 'height': '3rem', fill: '#5ccfff'}} />|Data visualization|Amazon QuickSight powers data-driven organizations with unified business intelligence (BI) at hyperscale.|[Documentation](/docs/en/integrations/quicksight)|
 |RabbitMQ|<RabbitmqSVG style={{width: '3rem', 'height': '3rem' }} />|Data integration|Allows ClickHouse to connect [RabbitMQ](https://www.rabbitmq.com/).|[Documentation](/docs/en/engines/table-engines/integrations/rabbitmq)|
 |Redis|<RedisSVG style={{width: '3rem', 'height': '3rem' }} />|Data integration|Allows ClickHouse to use [Redis](https://redis.io/) as a dictionary source.|[Documentation](/docs/en/sql-reference/dictionaries/index.md#redis)|
-|Rust|<img src={require('./images/logos/logo_rust.png').default} class="image" alt="Rust logo" style={{width: '3rem', 'background-color': 'transparent'}}/>|Language client|A typed client for ClickHouse|[GitHub](https://github.com/ClickHouse/clickhouse-rs)|
+|Rust|<img src={require('./images/logos/logo_rust.png').default} class="image" alt="Rust logo" style={{width: '3rem', 'background-color': 'transparent'}}/>|Language client|A typed client for ClickHouse|[Documentation](/docs/en/integrations/language-clients/rust.md)|
 |SQLite|<SqliteSVG style={{width: '3rem', 'height': '3rem' }} />|Data integration|Allows to import and export data to SQLite and supports queries to SQLite tables directly from ClickHouse.|[Documentation](/docs/en/engines/table-engines/integrations/sqlite)|
 |Superset|<SupersetSVG style={{width: '3rem'}} />|Data visualization|Explore and visualize your ClickHouse data with Apache Superset.|[Documentation](/docs/en/integrations/data-visualization/superset-and-clickhouse.md)|
 |Tableau Online|<img src={require('./images/logos/logo_tableau.png').default} class="image" alt="Tableau Online logo" style={{width: '3rem', 'background-color': 'transparent'}}/>|Data visualization|Tableau Online streamlines the power of data to make people faster and more confident decision makers from anywhere|[Documentation](/docs/en/integrations/tableau-online)|