[Ci]: Fix to trigger the publish pipeline in failure build issue (#10847)

Why I did it
It is not necessary to trigger the publish pipeline when build is failed.

How I did it
Remove the condition in the azp task, change to use template condition.

.azure-pipelines/azure-pipelines-image-template.yml

@@ -58,10 +58,11 @@ jobs:
         condition: failed()
         artifact: 'sonic-buildimage.$(GROUP_NAME)$(GROUP_EXTNAME)$(System.JobAttempt)'
         displayName: "Archive failed sonic image"
-      - template: trigger-publish-artifacts-build.yml
-        parameters:
-          artifactName: 'sonic-buildimage.$(GROUP_NAME)$(GROUP_EXTNAME)'
-          publishPrefix: '$(Build.DefinitionName)/$(Build.SourceBranchName)/$(GROUP_NAME)'
+      - ${{ if ne(variables['Build.Reason'], 'PullRequest') }}:
+        - template: trigger-publish-artifacts-build.yml
+          parameters:
+            artifactName: 'sonic-buildimage.$(GROUP_NAME)$(GROUP_EXTNAME)'
+            publishPrefix: '$(Build.DefinitionName)/$(Build.SourceBranchName)/$(GROUP_NAME)'
       - ${{ parameters.postSteps }}
       - template: cleanup.yml
     jobGroups: ${{ parameters.jobGroups }}

.azure-pipelines/trigger-publish-artifacts-build.yml

@@ -20,10 +20,8 @@ steps:
     echo "##vso[task.setvariable variable=sonic_version]$sonic_version"
     echo "##vso[task.setvariable variable=latest_tag]$latest_tag"
     echo "##vso[task.setvariable variable=docker_tags]$docker_tags"
-  condition: ne(variables['Build.Reason'], 'PullRequest')
   displayName: 'Set trigger build variables'
 - task: TriggerBuild@4
-  condition: ne(variables['Build.Reason'], 'PullRequest')
   inputs:
     definitionIsInCurrentTeamProject: false
     teamProject: internal