EventHubs GeoDr functionality (Azure#2889)

Implement the last bits of GeoDr functionality in EventHubs.

---------

Co-authored-by: Copilot <[email protected]>

Author: LarryOsterman

sdk/eventhubs/azure_messaging_eventhubs/CHANGELOG.md

@@ -5,6 +5,7 @@
 ### Features Added
 
 - Reconnect support for EventHubs operations.
+- Enable [Geo Replication](https://learn.microsoft.com/azure/event-hubs/geo-replication) support in Event Hubs consumers and producers.
 
 ### Breaking Changes
 

sdk/eventhubs/azure_messaging_eventhubs/src/common/recoverable/connection.rs

@@ -1,6 +1,8 @@
 // Copyright (c) Microsoft Corporation. All Rights reserved
 // Licensed under the MIT license.
 
+// cspell:ignore geodr georeplication
+
 use super::{
     claims_based_security::RecoverableClaimsBasedSecurity, management::RecoverableManagementClient,
     receiver::RecoverableReceiver, sender::RecoverableSender,
@@ -31,6 +33,12 @@ use std::{
 };
 use tracing::{debug, span, trace, warn};
 
+/// The AMQP capability string used to negotiate geographic replication features
+/// between client and server. This capability is advertised during AMQP connection setup to indicate
+/// support for geographic replication, allowing clients and Event Hubs to coordinate failover and replication
+/// scenarios for high availability.
+const GEODR_REPLICATION_CAPABILITY: &str = "com.microsoft.georeplication";
+
 /// The recoverable connection is responsible for managing the connection to the Event Hubs service.
 /// It also handles authorization and connection recovery.
 ///
@@ -292,6 +300,7 @@ impl RecoverableConnection {
                         .map(|(k, v)| (AmqpSymbol::from(k), AmqpValue::from(v)))
                         .collect(),
                     ),
+                    desired_capabilities: Some(vec![GEODR_REPLICATION_CAPABILITY.into()]),
                     custom_endpoint: self.custom_endpoint.clone(),
                     ..Default::default()
                 }),