fix(auth): enable cookie credentials for web API requests

Configure Dio with BrowserHttpClientAdapter and withCredentials: true
for web platform, allowing session cookies to be sent with XHR requests.
This fixes NPM forward auth not working for API calls.

🤖 Generated with [Claude Code](https://claude.com/claude-code)

Co-Authored-By: Claude Opus 4.5 <noreply@anthropic.com>

pubspec.yaml

@@ -16,7 +16,7 @@ publish_to: 'none' # Remove this line if you wish to publish to pub.dev
 # https://developer.apple.com/library/archive/documentation/General/Reference/InfoPlistKeyReference/Articles/CoreFoundationKeys.html
 # In Windows, build-name is used as the major, minor, and patch parts
 # of the product and file versions while build-number is used as the build suffix.
-version: 1.0.0+1
+version: 1.0.1+1
 
 environment:
   sdk: ^3.10.4
@@ -67,6 +67,7 @@ dependencies:
   url_launcher: ^6.3.1
   flutter_code_editor: ^0.3.5
   highlight: ^0.7.0
+  dio_web_adapter: ^2.1.1
 
 dev_dependencies:
   flutter_test: