TST: migrate from cypress to playwright

[fangchenli]

Reference Issues or PRs

What does this implement/fix?

Put a x in the boxes that apply

• Bug fix (non-breaking change which fixes an issue)
• New feature (non-breaking change which adds a feature)
• Breaking change (fix or feature that would cause existing features not to work as expected)
• Documentation Update
• Code style update (formatting, renaming)
• Refactoring (no functional changes, no API changes)
• Build related changes
• Other (please describe):

Testing

• Did you test the pull request locally?
• Did you add new tests?

Any other comments?

[iameskild]

@fangchenli is this ready for review?

[dcmcand]

@marcelovilla can you check the status of this work?

[marcelovilla]

I'm closing this draft PR for now as it has not seen any recent activity but we will evaluate the proposed changes and see if we can built on top of it to close #2337