If you combine the desired notifier platforms in a Notify Group you can target them all at the same time with an Alert.
Alternatively, you could trigger an automation based on the state of the alert
entity.
Be aware that it is unlikely the Alert integration will be receiving any updates or new features going forward.
https://community.home-assistant.io/t/wth-are-alerts-not-configurable-through-the-ui/804195