Add entity labels to exported metrics

I currently have HomeAssistant with prometheus setup and I have multiple temperature sensor through various integrations.

I have labeled my Ecobee sensor with “ecobee” but these labels are not getting to prometheus labels. The only way to filter them is to explicitly target sensors name, it’d be nice to be able to select by label where each label would be pass as {“label”: “”} for a given entity. Only the entity highlighted are actually ecobee sensor but there’s no way to distinguish them (Grafana)