Re-enable running our eslint rules using ts-node (#159495)

Resubmission of #157532 with the following changes:

- Use `eslint-plugin-local` instead of `yarn` link to run our plugins
- Move our plugins to a top level `.eslintplugin` dir (as required by `eslint-plugin-local`)
- Update all names to `local/`

.eslintplugin/tsconfig.json

@@ -0,0 +1,26 @@
+{
+	"compilerOptions": {
+		"target": "es2020",
+		"lib": [
+			"ES2020"
+		],
+		"module": "commonjs",
+		"esModuleInterop": true,
+		"alwaysStrict": true,
+		"allowJs": true,
+		"strict": true,
+		"exactOptionalPropertyTypes": false,
+		"useUnknownInCatchVariables": false,
+		"noUnusedLocals": true,
+		"noUnusedParameters": true,
+		"newLine": "lf",
+		"noEmit": true
+	},
+	"include": [
+		"**/*.ts",
+		"**/*.js"
+	],
+	"exclude": [
+		"node_modules/**"
+	]
+}