context_server: Make notifications type safe (#32396)

Follow up to #32254 

Release Notes:

- N/A

crates/agent/src/context_server_tool.rs

@@ -105,7 +105,7 @@ impl Tool for ContextServerTool {
                     arguments
                 );
                 let response = protocol
-                    .request::<context_server::types::request::CallTool>(
+                    .request::<context_server::types::requests::CallTool>(
                         context_server::types::CallToolParams {
                             name: tool_name,
                             arguments,

crates/agent/src/thread_store.rs

@@ -562,7 +562,7 @@ impl ThreadStore {
 
             if protocol.capable(context_server::protocol::ServerCapability::Tools) {
                 if let Some(response) = protocol
-                    .request::<context_server::types::request::ListTools>(())
+                    .request::<context_server::types::requests::ListTools>(())
                     .await
                     .log_err()
                 {