[PETOSS-829] removed should publish output as not needed

Author: Ryan McCarthy

.github/workflows/publish-Oauth2Client-package.yml

@@ -19,7 +19,7 @@ jobs:
     outputs:
       # Used to conditionally run publish steps and notifications
       client_version: ${{steps.calc_version.outputs.version}}
-      should_publish: ${{steps.calc_version.outputs.should_publish}}
+      
 
     permissions:
       contents: write