By using the HA integration (https://github.com/nonsleepr/ha-eufy-security). It populates a camera entity that does exactly this when shown on a picture entity.
I tried to consume the last_event_pic but was not able to create something useful of it. the last_event_pic_html is way to long to be stored in a entity state as they are limited by 255 chars.
So for now I use this components:
HA Integration for Last Picture and Livestream, MQTT for instant motion detection (untested, also other sensors) and restful API towards ioBroker for state changes.
Pretty messy at the moment, but I think about ditching he mqtt part. Usually I sit at the window in direction of the camera, so when there is motion notified i am quicker by looking out of the window that switching browsers. If I am away I am happy with the eufy app to check what is going on.
Btw, created some node-red flow to temporary change guard mode so I can water the plants and get some fresh air on the motion detection covered area. It can be triggered from Alexa by some voice command. For now this was my main goal.