fix(eks): cluster deployment issue when the authentication mode is not changing

[xazhao]

Reason for this change

The issue happens in a very small edge case:

1. create a eks.Cluster like this

new eks.Cluster(this, 'Cluster', {
    version: eks.KubernetesVersion.V1_32,
    kubectlLayer: new KubectlV32Layer(this, 'KubectlLayer'),
});

2. In EKS console, modify the Auth model from CONFIG_MAP to API_AND_CONFIG_MAP, wait a few minutes until it completes.

3. Again, update from API_AND_CONFIG_MAP to API from console, wait until it completes

4. Now in CDK, add

authenticationMode: eks.AuthenticationMode.API,

5. When we re-deploy, CDK would consider it a undefined(CONFIG_MAP) to API and blocked with

Description of changes

Describe any new or updated permissions being added

Description of how you validated changes

Checklist

• My code adheres to the CONTRIBUTING GUIDE and DESIGN GUIDELINES

---

By submitting this pull request, I confirm that my contribution is made under the terms of the Apache-2.0 license

[aws-cdk-automation]

The pull request linter fails with the following errors:

❌ Fixes must contain a change to a test file.
❌ Fixes must contain a change to an integration test file and the resulting snapshot.

If you believe this pull request should receive an exemption, please comment and provide a justification. A comment requesting an exemption should contain the text Exemption Request. Additionally, if clarification is needed, add Clarification Request to a comment.

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 82.21%. Comparing base (f1c0926) to head (57c98a9).
Report is 34 commits behind head on main.

Additional details and impacted files

@@           Coverage Diff           @@
##             main   #33680   +/-   ##
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  Coverage   82.21%   82.21%           
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  Files         119      119           
  Lines        6876     6876           
  Branches     1162     1162           
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  Hits         5653     5653           
  Misses       1120     1120           
  Partials      103      103           

Flag	Coverage Δ
suite.unit	82.21% <ø> (ø)

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Components	Coverage Δ
packages/aws-cdk	∅ <ø> (∅)
packages/aws-cdk-lib/core	82.21% <ø> (ø)

[aws-cdk-automation]

AWS CodeBuild CI Report

• CodeBuild project: AutoBuildv2Project1C6BFA3F-wQm2hXv2jqQv
• Commit ID: 57c98a9
• Result: FAILED
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