chore(widget): use @playwright/test instead of a less-well-supported test dependency

[andrewedstrom]

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• [ ] I have tested these changes locally and they work as expected.
• [ ] I have added or updated tests to cover any new functionality or bug fixes.
• [ ] I have updated the documentation to reflect any changes or additions to the project.
• [ ] I have followed the project's code of conduct and conventions for commit messages.

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