[E2E] Create EKS "Blocking" Test

[richardcase]

Create a new EKS e2e test that is a minimalist quick test that will be invoked on every PR as a sanity tests.

This is an example on the non-eks side: https://github.com/kubernetes-sigs/cluster-api-provider-aws/blob/main/test/e2e/suites/unmanaged/unmanaged_CAPI_quick_clusterclass_test.go#L35

[richardcase]

/triage accepted
/priority important-soon
/help

[k8s-ci-robot]

@richardcase:
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In response to this:

/triage accepted
/priority important-soon
/help

Instructions for interacting with me using PR comments are available here. If you have questions or suggestions related to my behavior, please file an issue against the kubernetes-sigs/prow repository.

[intojhanurag]

/assign