Description of your changes

(built on top of #439)

Examples were not linted or built leading to missed bugs and compilation errors.

This PR homoganize the structure of cdk examples as well as make them lint and built the same way as modules.

It also add a job in e2e test workflow to test compilation of future published packages and avoid this kind of needed fix #470

How to verify this change

npm run lerna-lint
npm run lerna-test

Related issues, RFCs

To catch #435
Built on top of #439

PR status

Is this ready for review?: YES
Is it a breaking change?: NO

Checklist

• My changes meet the tenets criteria
• I have performed a self-review of my own code
• I have commented my code where necessary, particularly in areas that should be flagged with a TODO, or hard-to-understand areas
• I have made corresponding changes to the documentation
• My changes generate no new warnings
• The code coverage hasn't decreased
• I have added tests that prove my change is effective and works
• New and existing unit tests pass locally and in Github Actions
• Any dependent changes have been merged and published in downstream module
• The PR title follows the conventional commit semantics

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