The website is deployed as an OpenShift application in Fedora's OpenShift cluster. The configuration itself is stored in the fedora/ansible repository in playbooks/openshift-apps/silverblue.yml and roles/openshift-apps/silverblue.
The website is updated after each new commit via a webhook that triggers a source to image build in the OpenShift cluster. See the ImageStream.
To get access to the project in the OpenShift console, you should add your name in the list of application owners in silverblue.yaml.
You will then be able to access the silverblue project. Look for the BuildConfig to update the Webhook.