fix(example-app): remove react-native-reanimated (#1509 by @frankcalise)

[skip ci]

## Describe your PR
- Removes `react-native-reanimated` dependency from the Example App
- Simplifies the Example App for easier contributions (in the terms of,
it's less of a headache to build, see Why)
- Tested building Android, switching between old and new arch without
any hiccups or patching that @morganick has begun to push upstream

## Why
- It's been trouble in a monorepo setting
- We don't use it in the example app, it was just from Ignite spin up

Author: frankcalise

Diff for: apps/example-app/babel.config.js

@@ -1,17 +1,12 @@
 /** @type {import('@babel/core').TransformOptions['plugins']} */
-const plugins = [
-  /** react-native-reanimated web support @see https://docs.swmansion.com/react-native-reanimated/docs/fundamentals/installation/#web */
-  "@babel/plugin-proposal-export-namespace-from",
-  /** NOTE: This must be last in the plugins @see https://docs.swmansion.com/react-native-reanimated/docs/fundamentals/installation/#babel-plugin */
-  "react-native-reanimated/plugin",
-]
+const plugins = []
 
 /** @type {import('@babel/core').TransformOptions} */
 module.exports = function (api) {
   api.cache(true)
   return {
     assumptions: {
-      "setPublicClassFields": true,
+      setPublicClassFields: true,
     },
     presets: ["babel-preset-expo"],
     env: {

Diff for: apps/example-app/package.json

@@ -24,8 +24,8 @@
     "build:android:dev": "eas build --profile development:device --platform android --local",
     "build:android:prod": "eas build --profile production --platform android --local",
     "start": "npx expo start",
-    "android": "npx expo start --android",
-    "ios": "npx expo start --ios",
+    "android": "expo run:android",
+    "ios": "expo run:ios",
     "web": "npx expo start --web",
     "bundle:web": "npx expo export --platform web",
     "serve:web": "npx server dist",
@@ -41,13 +41,13 @@
     "@shopify/flash-list": "1.6.4",
     "apisauce": "3.0.1",
     "date-fns": "^2.30.0",
-    "expo": "^51.0.31",
+    "expo": "~51.0.36",
     "expo-build-properties": "~0.12.5",
-    "expo-font": "~12.0.9",
+    "expo-font": "~12.0.10",
     "expo-linear-gradient": "~13.0.2",
     "expo-linking": "~6.3.1",
     "expo-localization": "~15.0.3",
-    "expo-splash-screen": "~0.27.5",
+    "expo-splash-screen": "~0.27.6",
     "expo-status-bar": "~1.12.1",
     "i18n-js": "3.9.2",
     "mobx": "6.10.2",
@@ -57,7 +57,6 @@
     "react-dom": "18.2.0",
     "react-native": "0.74.5",
     "react-native-gesture-handler": "~2.16.1",
-    "react-native-reanimated": "~3.10.1",
     "react-native-safe-area-context": "4.10.5",
     "react-native-screens": "3.31.1",
     "react-native-view-shot": "3.8.0",