Fix Race Condition, Login Issues + Upgrade Playwright ver

[landonmsft]

Description

Bug-fix + improvements thanks to @Grant-Archibald-MS

• Fixed Race Condition
• Fixed Login Issues
• Upgraded to Playwright 1.33.0

Checklist

• [x] The code change is covered by unit tests. I have added tests that prove my fix is effective or that my feature works
• [x] I have performed end-to-end test locally.
• [x] New and existing unit tests pass locally with my changes
• [x] I have commented my code, particularly in hard-to-understand areas
• [x] I have made corresponding changes to the documentation
• [x] My changes generate no new warnings
• [x] I used clear names for everything
• [x] I have performed a self-review of my own code

[github-actions[bot]]

Package	Line Rate	Branch Rate	Complexity	Health
Microsoft.PowerApps.TestEngine	92%	89%	821	✔
Summary	92% (2214 / 2407)	89% (499 / 562)	821	✔

Minimum allowed line rate is 85%