Auto Scaling Group of EKS Cluster with Custom Service Link Role (AWSServiceRoleForAutoScaling_XX)

How we can use cross account CMK (attached with ami/ebs of launch template) with EKS cluster created. EKS cluster gets created with its own Auto Scaling Group & default Service Link Role (AWSServiceRoleForAutoScaling)

we have created our own Custom Service Linked role for Auto Scaling Group (AWSServiceRoleForAutoScaling_XX) & Added it to CMK policy
we want to our EKS cluster get created with Auto Scaling Group & This EKS default Auto Scaling group should use our custom Service Link Role(AWSServiceRoleForAutoScaling_XX)

Is there any way to achieve it by having custom Service Link Role(AWSServiceRoleForAutoScaling_XX) added to CMK Policy?

This is a roadmap request about EKS-created Auto Scaling Groups, cross-account CMKs, and a custom AWSServiceRoleForAutoScaling role. Start by reviewing how EKS provisions the cluster's default Auto Scaling Group and service-linked role, then determine whether the role can be selected or configured. Done means the supported configuration or its limitation is clearly documented and verified.

Written by the indexing model from the issue text.