Lovelace: Call Service entity with entity_picture?

Does anyone know how to create a Call Service entity using an entity_picture instead of a ‘regular’ icon?

As I understand it a ‘Call Service’ entity allows you to change the EXECUTE text in the image below to something else with ‘action_name’, but it seems specifying an icon is required.




Has anyone found a way of changing the ‘action_name’ label, and being able to use an entity_picture?

Maybe a way that doesn’t use the ‘Call Service’ entity, or something different?