core/homeassistant/components/conversation/icons.json

{
  "entity_component": {
    "_": {
      "default": "mdi:forum-outline"
    }
  },
  "services": {
    "process": {
      "service": "mdi:message-processing"
    },
    "reload": {
      "service": "mdi:reload"
    }
  }
}