chore: Update RN example to expo 52. (#704)

Author: kinyoklion

packages/sdk/react-native/example/package.json

@@ -23,10 +23,10 @@
   "dependencies": {
     "@launchdarkly/react-native-client-sdk": "workspace:^",
     "@react-native-async-storage/async-storage": "^1.21.0",
-    "expo": "51.0.31",
+    "expo": "52.0.14",
     "expo-status-bar": "~1.11.1",
-    "react": "18.2.0",
-    "react-native": "0.74.3",
+    "react": "18.3.1",
+    "react-native": "0.76.3",
     "react-native-dotenv": "^3.4.9"
   },
   "devDependencies": {