ECS clusters do not inherit any tags from AWS::Batch::ComputeEnvironment

### Name of the resource

AWS::Batch::ComputeEnvironment

### Resource name

_No response_

### Description

When using `Type: MANAGED` compute environments in Batch, the ECS cluster is created automatically but it does not inherit any tags from the compute environment - and there's no way to tag it in other ways (other than manually), since the ARN of the cluster is not available in return values from `AWS::Batch::ComputeEnvironment`.
Ideally, the cluster that's created should inherit all tags (including CloudFormation tags) from the `AWS::Batch::ComputeEnvironment` resource.

### Other Details

_No response_

Start with AWS::Batch::ComputeEnvironment configured with Type: MANAGED and trace how its automatically created ECS cluster is tagged. Check whether the cluster ARN is available in the resource's return values. Done means the ECS cluster inherits all tags, including CloudFormation tags, without requiring manual tagging.

Written by the indexing model from the issue text.