I reply since I finally managed to have my automation work, but not thanks to the clarity of the application’s operating…
In the “mode settings” of the homebase (where you choose “Home”, “Away”,…), when you enter in the mode settings, for each camera you can choose its behaviour (recording a video, send a notification, etc.)
For my camera “recording a video” was off. Turning it on make the automation operating normally
In fact, in the automation, when you choose “Camera starts to record”, I feel that the homebase understands “Act like if the camera detects something” and operates the camera the way it is setup in the chosen mode