feat: pass timeout config while init mcp client

Author: wenhaozhao

core/src/main/java/com/google/adk/tools/mcp/McpSessionManager.java

@@ -54,6 +54,8 @@ public McpSyncClient createSession() {
 
   public static McpSyncClient initializeSession(Object connectionParams) {
     McpClientTransport transport;
+    Duration initializationTimeout = null;
+    Duration requestTimeout =  null;
     if (connectionParams instanceof ServerParameters serverParameters) {
       transport = new StdioClientTransport(serverParameters);
     } else if (connectionParams instanceof SseServerParameters sseServerParams) {
@@ -73,14 +75,21 @@ public static McpSyncClient initializeSession(Object connectionParams) {
                                 )
                 )
                 .build();
+      initializationTimeout = sseServerParams.timeout();
+      requestTimeout = sseServerParams.sseReadTimeout();
     } else {
       throw new IllegalArgumentException(
           "Connection parameters must be either ServerParameters or SseServerParameters, but got "
               + connectionParams.getClass().getName());
     }
-    McpSyncClient client =
-        McpClient.sync(transport)
-            .requestTimeout(Duration.ofSeconds(10))
+    McpClient.SyncSpec mcpClientSyncSpec = McpClient.sync(transport);
+    if (initializationTimeout != null) {
+      mcpClientSyncSpec = mcpClientSyncSpec.initializationTimeout(initializationTimeout);
+    }
+    if (requestTimeout != null) {
+      mcpClientSyncSpec = mcpClientSyncSpec.requestTimeout(requestTimeout);
+    }
+    McpSyncClient client = mcpClientSyncSpec
             .capabilities(ClientCapabilities.builder().build())
             .build();
     InitializeResult initResult = client.initialize();