Implement playwright browser provider

[benmccann]

Clear and concise description of the problem

Add built-in support for Playwright alongside the existing webdriver support

Suggested solution

Reference #2999

Alternative

No response

Additional context

In SvelteKit we offer Vitest and Playwright as defaults that we automatically setup for the user. It would be nice to have a Playwright browser provider to allow usage of Vitest's browser testing feature without needing to additionally download webdriver.

Validations

• Follow our Code of Conduct
• Read the Contributing Guidelines.
• Read the docs.
• Check that there isn't already an issue that request the same feature to avoid creating a duplicate.

[Aslemammad]

I'm working on this one.