Fix Expo Dev Client CI (#5329)

## Summary

By default, Expo uses npm as a package manager. When you execute `npm
install <library>`, npm installs the dependencies and runs the `prepare`
script from the library. This setup generally works well. However, on
our CI environment, we install Reanimated directly from the branch,
without the autogenerated files and types. These files are usually
generated by the `prepare` command. The problem arises with the plugin
since there may be a Babel version mismatch between Expo and the plugin.
This mismatch causes the plugin build to fail, resulting in an error.
```
npm ERR!   Type 'import("/home/runner/.npm/_cacache/tmp/git-clonesZNSUp/plugin/node_modules/@babel/types/lib/index").FunctionExpression' is not assignable to type 'babel.types.FunctionExpression'.
npm ERR!     Types of property 'id' are incompatible.
npm ERR!       Type 'import("/home/runner/.npm/_cacache/tmp/git-clonesZNSUp/plugin/node_modules/@babel/types/lib/index").Identifier | null | undefined' is not assignable to type 'babel.types.Identifier | null | undefined'.
```
More logs here:
https://github.com/software-mansion/react-native-reanimated/actions/runs/6697889174/job/18198727220

My solution is to use the nightly version of Reanimated from NPM. If
anyone has a better approach, I'm open to discussion and would love to
hear alternative suggestions. 🤗

## Test plan

See CI reults

.github/workflows/check-expo-dev-client-nightly.yml

@@ -4,7 +4,7 @@ on:
     paths:
       - .github/workflows/check-expo-dev-client-nightly.yml
   schedule:
-    - cron: '37 19 * * *'
+    - cron: '0 0 * * *' # after publishing new nightly version on NPM
   workflow_dispatch:
 
 env:
@@ -38,7 +38,7 @@ jobs:
         run: npx expo prebuild
       - name: Install Reanimated
         working-directory: app
-        run: npm install github:software-mansion/react-native-reanimated#${{ github.ref }}
+        run: npm install react-native-reanimated@nightly
       - name: Set Fabric
         if: ${{ matrix.react-native-architecture == 'Fabric' }}
         run: node ${{ env.SCRIPT_PATH }} setupFabricIOS
@@ -76,7 +76,7 @@ jobs:
         run: npx expo prebuild
       - name: Install Reanimated
         working-directory: app
-        run: npm install github:software-mansion/react-native-reanimated
+        run: npm install react-native-reanimated@nightly
       - name: Set Fabric
         if: ${{ matrix.react-native-architecture == 'Fabric' }}
         run: node ${{ env.SCRIPT_PATH }} setupFabricAndroid