[EKS] [OIDC]: OIDC response URL

[ozahavi]

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Tell us about your request The new dual-stack compatible endpoint for the OIDC issuer URL (mentioned here - https://github.com/aws/containers-roadmap/issues/2038#issuecomment-2278450601) returns eks.region.amazonaws.com URLs instead of oidc-eks.region.api.aws.

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? Make OIDC work together with the EKS private endpoint.

Are you currently working around this issue? Not using the EKS private endpoint.