Add initial typescript config and use it for eslint,vitest,playwright (#31186)

This enables eslint to use the typescript parser and resolver which
brings some benefits that eslint rules now have type information
available and a tsconfig.json is required for the upcoming typescript
migration as well. Notable changes done:

- Add typescript parser and resolver
- Move the vue-specific config into the root file
- Enable `vue-scoped-css/enforce-style-type` rule, there was only one
violation and I added a inline disable there.
- Fix new lint errors that were detected because of the parser change
- Update `i/no-unresolved` to remove now-unnecessary workaround for the
resolver
- Disable `i/no-named-as-default` as it seems to raise bogus issues in
the webpack config
- Change vitest config to typescript
- Change playwright config to typescript
- Add `eslint-plugin-playwright` and fix issues
- Add `tsc` linting to `make lint-js`

package.json

@@ -51,6 +51,7 @@
     "tippy.js": "6.3.7",
     "toastify-js": "1.12.0",
     "tributejs": "5.1.3",
+    "typescript": "5.5.2",
     "uint8-to-base64": "0.2.0",
     "vanilla-colorful": "0.7.2",
     "vue": "3.4.29",
@@ -67,13 +68,16 @@
     "@stoplight/spectral-cli": "6.11.1",
     "@stylistic/eslint-plugin-js": "2.2.1",
     "@stylistic/stylelint-plugin": "2.1.2",
+    "@typescript-eslint/parser": "7.14.1",
     "@vitejs/plugin-vue": "5.0.5",
     "eslint": "8.57.0",
+    "eslint-import-resolver-typescript": "3.6.1",
     "eslint-plugin-array-func": "4.0.0",
     "eslint-plugin-github": "5.0.1",
     "eslint-plugin-i": "2.29.1",
     "eslint-plugin-no-jquery": "3.0.1",
     "eslint-plugin-no-use-extend-native": "0.5.0",
+    "eslint-plugin-playwright": "1.6.2",
     "eslint-plugin-regexp": "2.6.0",
     "eslint-plugin-sonarjs": "1.0.3",
     "eslint-plugin-unicorn": "54.0.0",