chore: bump repo to RN 0.76.5 (#6818)

## Summary

🚀

apps/common-app/package.json

@@ -11,13 +11,11 @@
     "@react-native-async-storage/async-storage": "*",
     "@react-native-community/slider": "*",
     "@react-native-masked-view/masked-view": "*",
-    "@react-native-picker/picker": "*",
     "@react-navigation/bottom-tabs": "*",
     "@react-navigation/native": "*",
     "@react-navigation/native-stack": "*",
     "@react-navigation/stack": "*",
     "@shopify/flash-list": "*",
-    "@stylexjs/babel-plugin": "*",
     "d3-shape": "*",
     "react": "*",
     "react-dom": "*",
@@ -35,13 +33,11 @@
     "@react-native-async-storage/async-storage": "^1.24.0",
     "@react-native-community/slider": "^4.5.5",
     "@react-native-masked-view/masked-view": "^0.3.1",
-    "@react-native-picker/picker": "^2.9.0",
     "@react-navigation/bottom-tabs": "^7.0.0",
     "@react-navigation/native": "^7.0.0",
     "@react-navigation/native-stack": "^7.0.0",
     "@react-navigation/stack": "^7.0.0",
     "@shopify/flash-list": "^1.7.1",
-    "@stylexjs/babel-plugin": "^0.7.5",
     "@tsconfig/react-native": "^3.0.0",
     "@types/d3-shape": "^3.1.1",
     "d3-shape": "^3.2.0",
@@ -50,7 +46,7 @@
     "patch-package": "^8.0.0",
     "prettier": "^3.3.3",
     "react": "18.3.1",
-    "react-native": "^0.76.1",
+    "react-native": "0.76.5",
     "react-native-gesture-handler": "2.20.2",
     "react-native-pager-view": "^6.4.1",
     "react-native-reanimated": "workspace:*",