Add a Playwright implementation of e2e tests

[mraible]

Overview of the issue

Add an implementation of JHipster's e2e tests with Playwright.

I'm not sure this is necessary, but I figured I'd enter it here and put a bounty on it in case someone is interested.

Motivation for or Use Case

The least flaky system is the one we want for our CI processes.

Related issues

https://github.com/jhipster/generator-jhipster/issues/13723, https://github.com/jhipster/generator-jhipster/issues/13639

Suggest a Fix

Maybe Julien can get paid to do it?! 😉

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