chore: update the test runner (#7404)

**Motivation**

Update vitest and browser engine.

**Description**

- Move root level shared configs to `configs` directory
- Update to vitest 3.x
- Migrate from `webdriverio` to `playwright` which is more stable and
recommended by Vitest.

**NOTE**
Reverted the `playwright` upgrade. See the comments. 


d2a7af0308/configs/vitest.config.base.browser.ts (L41-L43)

**Steps to test or reproduce**

Run all tests

tsconfig.build.json

@@ -24,9 +24,8 @@
     "declarationMap": true,
     "incremental": true,
     "preserveWatchOutput": true,
-    // Enable it when upgrade `vite-plugin-dts` 
-    // "noUncheckedSideEffectImports": true,
-    // "noCheck": true,
+    "noUncheckedSideEffectImports": true,
+    "noCheck": true,
 
     // TODO: Investigate following errors:
     // - Cannot find module 'rollup/parseAst' or its corresponding type declarations