docs: Add note on AWS CDK NodejsFunction entry autodiscovery limitation

Author: ServerlessLife

README.md

@@ -336,6 +336,20 @@ export default {
 
 Check the [GitHub issues](https://github.com/ServerlessLife/lambda-live-debugger/issues).
 
+### AWS CDK: NodejsFunction entry autodiscovery not supported
+
+The `NodejsFunction` entry autodiscovery feature is not supported. When using `NodejsFunction`, you must explicitly specify the `entry` property pointing to your Lambda handler file. The automatic entry lookup based on construct ID (e.g., looking for `stack.my-handler.ts` when the ID is `my-handler`) cannot be detected by Lambda Live Debugger.
+
+```typescript
+// ❌ Not supported - autodiscovery based on construct ID
+new NodejsFunction(this, 'my-handler');
+
+// ✅ Supported - explicit entry path
+new NodejsFunction(this, 'my-handler', {
+  entry: 'src/handlers/my-handler.ts',
+});
+```
+
 ## Missing Features
 
 For the current list of missing features, please refer to the [GitHub issues](https://github.com/ServerlessLife/lambda-live-debugger/issues) page. The most significant missing features at the moment are MFA authentication and additional Terraform configurations.