How can I direct kubelet on EKS to contact private VPC endpoints?

Question

I am setting up an EKS cluster without internet access. I have created private VPC endpoints for the necessary services (EC2, S3, ...), but kubelet on the worker nodes insist contacting the public EC2 endpoint instead:  
  
```  
kubelet: F1116 10:08:20.929730   19335 server.go:273] failed to run Kubelet: could not init cloud provider "aws": error finding instance i-0xxxxxxxxx: "error listing AWS instances: \"RequestError: send request failedncaused by: Post https://ec2.eu-north-1.amazonaws.com/: dial tcp 52.46.192.128:443: i/o timeout\""  
```  
  
From the worker, I can reach the private endpoints on port 443. How can I instruct the kubelet AWS cloud provider to contact them instead? I suppose I should change something in the kubelet config file, but I cannot find the relevant documentation. I have found the relevant config reading code, but I don't read Go well enough to figure out how to tweak the config: https://github.com/kubernetes/legacy-cloud-providers/blob/243362b8233f05202b5facfe85921f5a3a87461e/aws/aws.go#L649  
  
Or is this supposed to work via a DNS override? In that case, what is missing? I have gone through the docs at https://docs.aws.amazon.com/eks/latest/userguide/private-clusters.html and https://docs.aws.amazon.com/eks/latest/userguide/cluster-endpoint.html, and cannot find anything that I have missed.  
  
Grateful for support. IIUC, we have an enterprise support agreement. If I need to do something to trigger that, let me know.  
  
Regards,  
  
Lars

Answer

In case someone else has this problem, the missing piece was the flag "Private DNS names enabled" when creating VPC endpoints. It defaults to true in the console and with 'aws' CLI tool, but to false with Terraform, which I used.  
  
The need for the flag to be set is missing in the documentation mentioned above.

How can I direct kubelet on EKS to contact private VPC endpoints?

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