feat: add starter kit verification test + fix TypeScript compilation

Add comprehensive verification checklist (200+ checks across 15 sections)
covering all commands, hooks, security, configs, and /new-project output.
Fix missing @types/node and MongoDB OptionalId<T> type errors.

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

Author: timclausendev-web

package.json

@@ -42,6 +42,7 @@
   },
   "devDependencies": {
     "@playwright/test": "^1.42.0",
+    "@types/node": "^25.2.3",
     "tsx": "^4.7.0",
     "typescript": "^5.4.0",
     "vitest": "^2.0.0"