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`

tests/e2e/e2e_test.go

@@ -73,10 +73,10 @@ func TestMain(m *testing.M) {
 	os.Exit(exitVal)
 }
 
-// TestE2e should be the only test e2e necessary. It will collect all "*.test.e2e.js" files in this directory and build a test for each.
+// TestE2e should be the only test e2e necessary. It will collect all "*.test.e2e.ts" files in this directory and build a test for each.
 func TestE2e(t *testing.T) {
 	// Find the paths of all e2e test files in test directory.
-	searchGlob := filepath.Join(filepath.Dir(setting.AppPath), "tests", "e2e", "*.test.e2e.js")
+	searchGlob := filepath.Join(filepath.Dir(setting.AppPath), "tests", "e2e", "*.test.e2e.ts")
 	paths, err := filepath.Glob(searchGlob)
 	if err != nil {
 		t.Fatal(err)