chore(react): update sync script to use tgz (#28019)

Issue number: N/A

---------

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## What is the current behavior?
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The sync script for the React package is out of date. It will
unintentionally delete the symlink directory of the build output from
`core/`, which breaks the build for the package during local
development.

## What is the new behavior?
<!-- Please describe the behavior or changes that are being added by
this PR. -->

- Updates the sync script to package and install the `core` package 
- Matches the implementation pattern used for the sync script in our
other packages

## Does this introduce a breaking change?

- [ ] Yes
- [x] No

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and migration path for existing applications below. -->


## Other information

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screenshots of how the component looks before and after the change. -->

packages/react/scripts/sync.sh

@@ -2,8 +2,11 @@
 
 set -e
 
-# Copy core dist
-rm -rf node_modules/@ionic/core/dist node_modules/@ionic/core/components
-cp -a ../../core/dist node_modules/@ionic/core/dist
-cp -a ../../core/components node_modules/@ionic/core/components
-cp -a ../../core/package.json node_modules/@ionic/core/package.json
+# Delete old packages
+rm -f *.tgz
+
+# Pack @ionic/core
+npm pack ../../core
+
+# Install Dependencies
+npm install *.tgz --no-save