Fix moving playwright.config.ts

[myieye]

Description

In #1557 I moved the playwright.config.ts file to the playwright test folder. But I overlooked a few things:

1. That affected where test results get stored
2. It affects where storageState.json files get created when running tests via VS-Code extension

So, I've fixed and standardized those things.

Type of Change

• Bug fix (non-breaking change which fixes an issue)

Checklist

• I have performed a self-review of my own code
• I have reviewed the title/description of this PR which will be used as the squashed PR commit message
• I have commented my code, particularly in hard-to-understand areas

[github-actions]

Unit Test Results

368 tests   368 ✔️  11s ⏱️
  38 suites      0 💤
    1 files        0 ❌

Results for commit fe275fe.

[longrunningprocess]

really nice changes 🏆

[longrunningprocess]

Testing

E2E testing on develop run and deployment seem like a good test for this one!