chore(analytics-connector): remove experiment-core dependency (#159)

Author: Mercy811

packages/analytics-connector/package.json

@@ -27,9 +27,6 @@
   "bugs": {
     "url": "https://github.com/amplitude/experiment-js-client/issues"
   },
-  "dependencies": {
-    "@amplitude/experiment-core": "^0.11.0"
-  },
   "devDependencies": {
     "@types/amplitude-js": "^8.0.2",
     "amplitude-js": "^8.12.0"