Remove tests from official builds (#23056)

* Remove tests from official builds
  - #22787

nit: _add_ dependency on Windows ARM64 build when publishing to the BAR
    - not a major problem because this particular build rarely if ever fails
    - the existence of the correct manifests is much more important

* Address nit: `Windows_64_build` -> `Windows_arm64_build`

.azure/pipelines/ci.yml

@@ -246,7 +246,7 @@ stages:
   - template: jobs/default-build.yml
     parameters:
       codeSign: true
-      jobName: Windows_64_build
+      jobName: Windows_arm64_build
       jobDisplayName: "Build: Windows ARM64"
       agentOs: Windows
       buildArgs:
@@ -492,6 +492,7 @@ stages:
     parameters:
       inputName: Linux_musl_arm64
 
+  - ${{ if or(eq(variables['System.TeamProject'], 'public'), in(variables['Build.Reason'], 'PullRequest')) }}:
     # Test jobs
     - template: jobs/default-build.yml
       parameters:
@@ -675,6 +676,7 @@ stages:
         dependsOn:
           - Windows_build
           - Windows_arm_build
+          - Windows_arm64_build
           - CodeSign_Xplat_MacOS_x64
           - CodeSign_Xplat_Linux_x64
           - CodeSign_Xplat_Linux_arm
@@ -682,11 +684,7 @@ stages:
           - CodeSign_Xplat_Linux_musl_x64
           - CodeSign_Xplat_Linux_musl_arm64
           # In addition to the dependencies above, ensure the build was successful overall.
-          - Linux_Test
-          - MacOS_Test
           - Source_Build
-          - Windows_Templates_Test
-          - Windows_Test
         pool:
           vmImage: vs2017-win2016
         publishUsingPipelines: ${{ variables._PublishUsingPipelines }}