Sounds good! Is there any chance to center to the camera the object we're moving for? In my sidescroller view it is not centered.
To do that you would probably have to edit the cutscene_camera_follow_object script.
I can’t test it right now, but maybe this can help: https://forum.gamemaker.io/index.php?threads/how-to-make-an-object-smoothly-change-position.108897/
Or maybe another option could be to use cutscene_camera_moveto_position to move close to the door and then use cutscene_camera_follow_object with a different speed?