test: use applicationName for MCP client identification

Author: clareliguori

e2e_tests/typescript/src/mcp_clients.ts

@@ -24,9 +24,7 @@ export async function createStdioClient(name: string, config: any): Promise<McpC
     args: config.args,
     env: config.env ? { ...process.env, ...config.env } : undefined,
   });
-  const client = new McpClient({ transport });
-  (client as any)._serverName = name;
-  return client;
+  return new McpClient({ transport, applicationName: name });
 }
 
 export async function createLambdaFunctionClient(name: string, config: any): Promise<McpClient> {
@@ -36,9 +34,7 @@ export async function createLambdaFunctionClient(name: string, config: any): Pro
     functionName: config.functionName,
     regionName: config.region,
   });
-  const client = new McpClient({ transport });
-  (client as any)._serverName = name;
-  return client;
+  return new McpClient({ transport, applicationName: name });
 }
 
 export async function createLambdaFunctionUrlClient(name: string, config: any): Promise<McpClient> {
@@ -58,9 +54,7 @@ export async function createLambdaFunctionUrlClient(name: string, config: any):
 
   logger.debug(`Lambda function URL: ${functionUrl}, region: ${region}`);
   const transport = new StreamableHTTPClientWithSigV4Transport(new URL(functionUrl), { region, service: "lambda" });
-  const client = new McpClient({ transport });
-  (client as any)._serverName = name;
-  return client;
+  return new McpClient({ transport, applicationName: name });
 }
 
 export async function createAutomatedOAuthClient(name: string, config: any): Promise<McpClient> {
@@ -92,9 +86,7 @@ export async function createAutomatedOAuthClient(name: string, config: any): Pro
   logger.debug(`Creating OAuth transport for ${name}...`);
   const transport = await createAutomatedOAuthTransport(serverUrl, clientId, clientSecret);
 
-  const client = new McpClient({ transport });
-  (client as any)._serverName = name;
-  return client;
+  return new McpClient({ transport, applicationName: name });
 }
 
 async function getCloudFormationOutput(stackName: string, outputKey: string, region: string): Promise<string> {