Do not publish to the nightly MSDocs branch if nightly PublishPackages fails (#36787)

Author: JimSuplizio

eng/pipelines/templates/stages/archetype-python-release.yml

@@ -327,7 +327,7 @@ stages:
 
       - job: PublishDocsToNightlyBranch
         dependsOn: PublishPackages
-        condition: or(eq(variables['SetDevVersion'], 'true'), and(eq(variables['Build.Reason'],'Schedule'), eq(variables['System.TeamProject'], 'internal')))
+        condition: and(succeeded(), or(eq(variables['SetDevVersion'], 'true'), and(eq(variables['Build.Reason'],'Schedule'), eq(variables['System.TeamProject'], 'internal'))))
         pool:
           image: azsdk-pool-mms-ubuntu-2004-1espt
           name: azsdk-pool-mms-ubuntu-2004-general