End to end testing with `playwright`

[ViorelMocanu]

Implement Playwright and the critical E2E tests that insure the application works well for each deploy.

Documentation:

• https://docs.astro.build/en/guides/testing/#playwright
• https://playwright.dev/docs/intro
• https://playwright.dev/docs/test-webserver#configuring-a-web-server

VSCode extension: https://playwright.dev/docs/getting-started-vscode

Installation:

pnpm dlx create-playwright