[react-native] Upgrade to 0.62.2 (expo#8310)

# Why

Let's have latest React Native in the upcoming SDK!

# How

See the story at https://www.notion.so/expo/React-Native-Upgrade-Diary-947bc0b506a942189fd47ff6e53bf95b.

# Test Plan

Expo Client runs, versioned SDK38 also runs (after a couple of post-version fixes outlined in the aforementioned doc).

`expo-cli` can't handle `client_log` events, but that's something we may want to figure out after merging this PR, I guess.

package.json

@@ -43,9 +43,9 @@
     "lodash": "^4.17.15",
     "prop-types": "^15.6.2",
     "querystring": "^0.2.0",
-    "react": "16.9.0",
+    "react": "16.11.0",
     "react-apollo": "^3.1.3",
-    "react-native": "0.61.4",
+    "react-native": "0.62.2",
     "react-native-appearance": "~0.3.3",
     "react-native-fade-in-image": "^1.5.0",
     "react-native-gesture-handler": "~1.6.0",