Implement posthog

package.json

@@ -9,7 +9,6 @@
     "postinstall": "nuxt prepare"
   },
   "dependencies": {
-    "@aptabase/web": "^0.4.3",
     "@formkit/tempo": "^0.1.2",
     "@google/genai": "^1.5.1",
     "@neondatabase/serverless": "^1.0.0",
@@ -23,6 +22,8 @@
     "nuxt": "^3.16.2",
     "nuxt-auth-utils": "0.5.18",
     "openai": "^4.95.1",
+    "posthog-js": "^1.256.2",
+    "posthog-node": "^5.1.1",
     "radash": "^12.1.0",
     "ts-pattern": "^5.7.1",
     "url": "^0.11.4",