I created a EKS cluster in one project (say infra/dev) and try to use it from another project (say app/dev) using stackReference. I can retrieve kubeconfig which is exported in the infra/dev stack. I can create a k8sprovider with it, I can then use the k8sprovider to create additional resource, for example, namespace/serviceaccount for the app/dev. But how do I get the EKS cluster itself from it? I need the EKS cluster to retrieve OidcProvider.

I think you would typically export that as well