Issue # (if applicable)

This PR improve the compatibility for albController with authenticationMode.API

related to #30888

We will address Fargate compatibility in #31267

Reason for this change

• When authenticationMode.API is specified, no aws-auth configMap should be created
• albController should not depend on cluster.awsAuth because that would create aws-auth configmap, which is not required in API mode.

Description of changes

Description of how you validated changes

unit tests

• validate the behavior in all conditions of the authenticationMode

integ test

• add a new integ test with API mode to ensure successful deployment

debugger

{
  "version": "0.2.0",
  "configurations": [
    {
      "type": "node",
      "request": "launch",
      "name": "Jest",
      "program": "${workspaceFolder}/node_modules/jest/bin/jest.js",
      "cwd": "${workspaceFolder}/packages/aws-cdk-lib",
      "args": [
        "--verbose",
        "-i",
        "--no-cache",
        "test/alb-controller.test.ts",
      ],
      "console": "integratedTerminal",
      "internalConsoleOptions": "neverOpen",
      "skipFiles": [
        "<node_internals>/**"
      ],
      "outFiles": [
        "${workspaceFolder}/**/*.(m|c|)js",
        "!**/node_modules/**"
      ],
    }
  ]
}

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