The LlamaLab Automate cloud message supports delivering messages with high priority, which attempts to awaken the receiving device. It would be great to have the priority option (normal, high) in hass for e.g. emergency messages, doorbell, …
see https://llamalab.com/automate/cloud/
Note: Llamalab warns: " ‘High’ attempts to awaken the receiving device, use sparingly as it will increase battery drain and Google may throttle its usage."