chore(example-deps): bump file_picker from 10.3.8 to 10.3.10 in /example (#21)

* chore(example-deps): bump file_picker from 10.3.8 to 10.3.10 in /example

Bumps [file_picker](https://github.com/miguelpruivo/flutter_file_picker) from 10.3.8 to 10.3.10.
- [Release notes](https://github.com/miguelpruivo/flutter_file_picker/releases)
- [Changelog](https://github.com/miguelpruivo/flutter_file_picker/blob/master/CHANGELOG.md)
- [Commits](miguelpruivo/flutter_file_picker@v10.3.8...v10.3.10)

---
updated-dependencies:
- dependency-name: file_picker
  dependency-version: 10.3.10
  dependency-type: direct:production
  update-type: version-update:semver-patch
...

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* style: auto-format code with dart format [skip ci]

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Author: dependabot[bot]

example/pubspec.lock

@@ -116,10 +116,10 @@ packages:
     dependency: "direct main"
     description:
       name: file_picker
-      sha256: d974b6ba2606371ac71dd94254beefb6fa81185bde0b59bdc1df09885da85fde
+      sha256: "57d9a1dd5063f85fa3107fb42d1faffda52fdc948cefd5fe5ea85267a5fc7343"
       url: "https://pub.dev"
     source: hosted
-    version: "10.3.8"
+    version: "10.3.10"
   flutter:
     dependency: "direct main"
     description: flutter

example/pubspec.yaml

@@ -37,7 +37,7 @@ dependencies:
   cupertino_icons: ^1.0.8
   docx_viewer:
       path: ../
-  file_picker: ^10.3.8
+  file_picker: ^10.3.10
 
 dev_dependencies:
   flutter_test: