Fix YAML parse error by moving condition inside templates

Azure Pipelines doesn't support condition on template calls directly.
Move the publishToNpmFeed condition inside the publish.yaml template
and pass the parameter from the pipeline files.

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

Author: iclanton

common/config/azure-pipelines/npm-publish-rush.yaml

@@ -68,12 +68,12 @@ extends:
                 parameters:
                   VersionPolicyName: noRush
                   BranchName: $(SourceBranch)
-                condition: eq('${{ parameters.publishToNpmFeed }}', 'true')
+                  PublishToNpmFeed: ${{ parameters.publishToNpmFeed }}
 
               - template: /common/config/azure-pipelines/templates/publish.yaml@self
                 parameters:
                   VersionPolicyName: rush
                   BranchName: $(SourceBranch)
-                condition: eq('${{ parameters.publishToNpmFeed }}', 'true')
+                  PublishToNpmFeed: ${{ parameters.publishToNpmFeed }}
 
               - template: /common/config/azure-pipelines/templates/post-publish.yaml@self

common/config/azure-pipelines/npm-publish.yaml

@@ -63,6 +63,6 @@ extends:
                 parameters:
                   VersionPolicyName: noRush
                   BranchName: $(SourceBranch)
-                condition: eq('${{ parameters.publishToNpmFeed }}', 'true')
+                  PublishToNpmFeed: ${{ parameters.publishToNpmFeed }}
 
               - template: /common/config/azure-pipelines/templates/post-publish.yaml@self

common/config/azure-pipelines/templates/publish.yaml

@@ -4,9 +4,13 @@ parameters:
   - name: BranchName
     type: string
     default: $(Build.SourceBranchName)
+  - name: PublishToNpmFeed
+    type: boolean
+    default: true
 
 steps:
-  - script: 'node common/scripts/install-run-rush.js publish --apply --publish --include-all --target-branch ${{ parameters.BranchName }} --add-commit-details --set-access-level public'
-    displayName: 'Rush Publish (Policy: ${{ parameters.VersionPolicyName }})'
-    env:
-      NPM_AUTH_TOKEN: $(npmToken)
+  - ${{ if eq(parameters.PublishToNpmFeed, true) }}:
+      - script: 'node common/scripts/install-run-rush.js publish --apply --publish --include-all --target-branch ${{ parameters.BranchName }} --add-commit-details --set-access-level public'
+        displayName: 'Rush Publish (Policy: ${{ parameters.VersionPolicyName }})'
+        env:
+          NPM_AUTH_TOKEN: $(npmToken)