Better run-name, versioned staging builds

.github/workflows/publish-new-build.yml

@@ -1,5 +1,5 @@
 name: Publish new build
-run-name: Publish new images for "${{ github.ref_name }}" triggered by ${{ github.actor }}
+run-name: "Publish new images for ${{ github.ref_name }} triggered by ${{ github.actor }}; version: ${{ inputs.version || 'N/A'}}"
 
 on:
   pull_request:
@@ -68,6 +68,7 @@ jobs:
       !contains(needs.*.result, 'cancelled')
     with:
       environment: staging-fidl
+      version: ${{ inputs.version }}
     secrets: inherit
 
   production-only-publish: