[EKS] [request]: Support pulling coredns from private image repository

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Tell us about your request
Support pulling coredns from private image repository instead of AWS managed ECR which is the current EKS behaviour.

Which service(s) is this request for?
EKS

Tell us about the problem you're trying to solve. What are you trying to do, and why is it hard?
Our customer security policy requires all container images running on EKS should be coming from the enterprise private repository (JFrog Artifactory). However when bootstrapping an EKS cluster, currently EKS is pulling coredns image from an AWS managed ECR, i.e. 602401143452.dkr.ecr.ap-southeast-2.amazonaws.com/eks/coredns:v1.8.0-eksbuild.1. So would appreciate if we have an option to allow EKS to pull coredns image from enterprise private repo instead so we can be aligned with customer's security policy.

Are you currently working around this issue?
We currently are asking a temporary exemption. However it needs to be addressed as a formal solution.

Additional context

Attachments
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The issue identifies EKS cluster bootstrapping and the CoreDNS image URI as the relevant entry points, but names no repository files or tests. Start by locating the EKS/CoreDNS image configuration and determine how private repository settings would be represented. Done means EKS can pull CoreDNS from an enterprise private repository instead of the AWS-managed ECR image.

Written by the indexing model from the issue text.