Fix Playwright Test Performance

[google-labs-jules]

This change optimizes the Playwright test suite for speed and reliability by removing anti-patterns like hard waits and enabling parallel execution. It also refactors test helpers and loops to be more efficient and resilient.

Fixes #607

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PR created automatically by Jules for task 17138056022528110188 started by @arii

[google-labs-jules]

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[arii]

Automated Verification Results — FAIL

@jules

Verification skipped due to merge/rebase failures.

Verification Failed at: Git Rebase/Merge

Failure Logs

Merge conflicts detected. Conflict markers have been committed and pushed.

[arii]

Automated Verification Results — PASS

Check	Status	Duration
Verification	[SKIPPED]	0s

All checks passed! Ready for review.