Update release-process to mention syncing tags

documentation/release-process.md

@@ -132,11 +132,13 @@ The release image is `mcr.microsoft.com/dotnet/monitor`. The tag list is https:/
 
 1. Update the `AutoUpdateDockerBranches` variable to `refs/heads/main` in the [internal pipeline](https://dev.azure.com/dnceng/internal/_build?definitionId=954) to begin the consumption of nightly builds into dotnet-docker. Note this should not necessarily be done right after the release, but after the merge from main to nightly in the dotnet-docker repo (such as https://github.com/dotnet/dotnet-docker/pull/4741). Include additional branch references and semi-colon delimit each value e.g. `refs/heads/main;refs/heads/feature/9.x`.
 1. Review and merge the automatically create `Register new release information` PR.
+1. For each release, push its corresponding tag to the [internal repository](https://dev.azure.com/dnceng/internal/_git/dotnet-dotnet-monitor).
 1. For each release, push its corresponding tag to the `shipped/v<version>` branch in the [internal repository](https://dev.azure.com/dnceng/internal/_git/dotnet-dotnet-monitor) e.g `v8.0.0-rc.1.23458.6 -> shipped/v8.0`. If done correctly, this should be a fast-forward merge.
-```
+```sh
 git remote add internal https://dev.azure.com/dnceng/internal/_git/dotnet-dotnet-monitor
 git fetch --tags
 git checkout v8.0.0-rc.1.23458.6
-git push internal HEAD:shipped/v8.0
+git push internal tag v8.0.0-rc.1.23458.6 # Push the tag
+git push internal HEAD:shipped/v8.0 # Update the shipped branch
 ```
 1. When necessary, update this document if its instructions were unclear or incorrect.