[release/8.0.3xx] Set ProducesDotNetReleaseShippingAssets property in Publishing.props (#39036)

Co-authored-by: MilenaHristova <[email protected]>

Author: github-actions[bot]

eng/Publishing.props

@@ -5,6 +5,7 @@
     <PublishingVersion>3</PublishingVersion>
     <!-- This repo does its own symbol package generation to avoid generating symbols for a bunch of unrelated test packages. -->
     <AutoGenerateSymbolPackages>false</AutoGenerateSymbolPackages>
+    <ProducesDotNetReleaseShippingAssets>true</ProducesDotNetReleaseShippingAssets>
   </PropertyGroup>
 
   <PropertyGroup>