Renaming Azure Artifact Name

It seems like a simple task, but there are some fundamental hurdles with this.

The suggestion (and I am exploring other avenues as well) is to create a release version of a build artifact built out of an existin Azure CI pipeline. The build artifact has a build number name which I want to preserve and create a copy except including a release number. See the following to illustrate the end result.

Build Artifact: Artifact.2.4564767.zip
Release Artifact: Release.2.0003.zip

One thing to highlight is that: a) the Release artifact can be picked up by another signing pipeline. The signing pipeline cannot do the artifact rename itself because it's only accepting a file with a release number. b) Therefore this renamed artifact must be available to other CD Pipelines.
Is a CD Release pipeline the way to go? I sense an uncertainty accomplishing this because whether it's possible CD pipelines can product an artifact in the Azure sense (which is what I want). Or should this be CI? The benefit would be that the artifact would be available but at the same time CI pipelines don't support Artifacts as source points.