feat(apigatewayv2): add stage variables support for HTTP and WebSocket API

[gasolima]

Issue

Closes https://github.com/aws/aws-cdk/issues/11818 .

Reason for this change

To support stage variables to HttpApi & WebSocketApi.

Description of changes

Add stageVariables property to WebSocketStage & HttpStage.

Describe any new or updated permissions being added

N/A

Description of how you validated changes

• Add a unit test
• Tested it manually by creating stack to use the new props and check the CF template & UI

Checklist

• [x] My code adheres to the CONTRIBUTING GUIDE and DESIGN GUIDELINES

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

[mergify[bot]]

Thank you for contributing! Your pull request will be updated from main and then merged automatically (do not update manually, and be sure to allow changes to be pushed to your fork).

[aws-cdk-automation]

AWS CodeBuild CI Report

• CodeBuild project: AutoBuildv2Project1C6BFA3F-wQm2hXv2jqQv
• Commit ID: 1d737ad9d9ddb419547f999c12308a67e22d5294
• Result: SUCCEEDED
• Build Logs (available for 30 days)

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[mergify[bot]]

Thank you for contributing! Your pull request will be updated from main and then merged automatically (do not update manually, and be sure to allow changes to be pushed to your fork).

[github-actions[bot]]

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