Artificial goose egg incubation and re-introduction to broody goose.

Please refer to this post for background to the current query:  https://permies.com/t/360/146023/aging-homesteader#2144994    [The thread entries immediately prior to the linked post give full details.]

We are trying to get some goose numbers back up in the farmyard after the events of Fall 2023 noted in the link.  In 2024, there was some nesting, but nothing productive from the egg laying and incubating by the laying goose.  This year, we seem to have two geese laying and nesting and already 10+ eggs available.  Wife would like to try an egg incubator for 4-5 of the eggs, but then began wondering about re-introduction of eggs to the goose nest at the right "time".....should this be done when noises are heard inside the egg?  Or should it just be after a specific time from when the eggs are placed into the incubator?  Any luck with moving a hatching egg or hatchling immediately out to the mother goose?  Thoughts and experiences much welcomed....Thanks!