Add EKS e2e tests with ClusterClass

[sedefsavas]

After #3166 is implemented, we should add some e2e tests to validate that ClusterClass works with EKS-managed clusters.

Testing AWSManagedControlPlane + MachineDeployments is a good start.

Eventually, we want tests added for AWSManagedMachinePools and AWSFargateProfile support.

We should not replace existing tests with the ones with ClusterClass given that it is still an experimental feature.

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/lifecycle stale

[k8s-triage-robot]

The Kubernetes project currently lacks enough active contributors to adequately respond to all issues and PRs.

This bot triages issues and PRs according to the following rules:

• After 90d of inactivity, lifecycle/stale is applied
• After 30d of inactivity since lifecycle/stale was applied, lifecycle/rotten is applied
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/lifecycle rotten