Alloy supports synching of both Prometheus and Loki Rules by discovering PrometheusRule objects and syncs them to a Mimir or Loki host.

• mimir.rules.kubernets
• loki.rules.kubernetes

These components are not clusterable, so I don't think that it makes sense to integrate them with the existing metrics/logs as it would result in unnecessary work. It probably makes more sense to have a separate lightweight pod to sync rules or possibly even a cronjob,