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`

web_src/js/components/RepoActionView.vue

@@ -797,7 +797,7 @@ export function initRepositoryActionView() {
 }
 </style>
 
-<style>
+<style> /* eslint-disable-line vue-scoped-css/enforce-style-type */
 /* some elements are not managed by vue, so we need to use global style */
 .job-status-rotate {
   animation: job-status-rotate-keyframes 1s linear infinite;