Update private name to @metamask/eslint-config-monorepo

This way when we enable Slack notifications for new releases, it will be
less confusing which package needs to be released.

package.json

@@ -1,5 +1,5 @@
 {
-  "name": "root",
+  "name": "@metamask/eslint-config-monorepo",
   "version": "12.2.0",
   "private": true,
   "repository": {

yarn.lock

@@ -1053,6 +1053,33 @@ __metadata:
   languageName: unknown
   linkType: soft
 
+"@metamask/eslint-config-monorepo@workspace:.":
+  version: 0.0.0-use.local
+  resolution: "@metamask/eslint-config-monorepo@workspace:."
+  dependencies:
+    "@eslint/eslintrc": ^1.3.0
+    "@eslint/js": ^8.45.0
+    "@lavamoat/allow-scripts": ^2.3.1
+    "@metamask/auto-changelog": ^3.0.0
+    "@metamask/eslint-config": ^12.0.0
+    "@metamask/eslint-config-nodejs": ^12.0.0
+    "@metamask/utils": ^8.1.0
+    "@types/jest": ^29.5.2
+    eslint: ^8.45.0
+    eslint-config-prettier: ^8.5.0
+    eslint-plugin-import: ~2.26.0
+    eslint-plugin-jest: ^27.1.5
+    eslint-plugin-jsdoc: ^41.1.2
+    eslint-plugin-n: ^15.7.0
+    eslint-plugin-prettier: ^4.2.1
+    fast-deep-equal: ^3.1.3
+    globals: ^13.17.0
+    jest: ^29.6.1
+    prettier: ^2.7.1
+    prettier-plugin-packagejson: ^2.2.18
+  languageName: unknown
+  linkType: soft
+
 "@metamask/eslint-config-nodejs@^12.0.0, @metamask/eslint-config-nodejs@workspace:packages/nodejs":
   version: 0.0.0-use.local
   resolution: "@metamask/eslint-config-nodejs@workspace:packages/nodejs"
@@ -5145,33 +5172,6 @@ __metadata:
   languageName: node
   linkType: hard
 
-"root@workspace:.":
-  version: 0.0.0-use.local
-  resolution: "root@workspace:."
-  dependencies:
-    "@eslint/eslintrc": ^1.3.0
-    "@eslint/js": ^8.45.0
-    "@lavamoat/allow-scripts": ^2.3.1
-    "@metamask/auto-changelog": ^3.0.0
-    "@metamask/eslint-config": ^12.0.0
-    "@metamask/eslint-config-nodejs": ^12.0.0
-    "@metamask/utils": ^8.1.0
-    "@types/jest": ^29.5.2
-    eslint: ^8.45.0
-    eslint-config-prettier: ^8.5.0
-    eslint-plugin-import: ~2.26.0
-    eslint-plugin-jest: ^27.1.5
-    eslint-plugin-jsdoc: ^41.1.2
-    eslint-plugin-n: ^15.7.0
-    eslint-plugin-prettier: ^4.2.1
-    fast-deep-equal: ^3.1.3
-    globals: ^13.17.0
-    jest: ^29.6.1
-    prettier: ^2.7.1
-    prettier-plugin-packagejson: ^2.2.18
-  languageName: unknown
-  linkType: soft
-
 "run-parallel@npm:^1.1.9":
   version: 1.1.9
   resolution: "run-parallel@npm:1.1.9"