fix(ci): add --no-example flag to dart pub get in publish workflow (#19)

Updated the install dependencies step to exclude examples.

Author: dhruvanbhalara

.github/workflows/publish.yaml

@@ -27,7 +27,7 @@ jobs:
           sdk: stable
 
       - name: Install dependencies
-        run: dart pub get
+        run: dart pub get --no-example
 
       - name: Verify publishing eligibility
         run: dart pub publish --dry-run