Keeping a drake (or a rooster, for chickens) will not increase your egg laying season. The only way to do that is to trick their systems by faking a "no winter" season. That's the reason the artificial lighting works - they think it's still summertime.I’ve seen mixed results that their ducks lay all year round and some stop in the fall/winter. I’ve also seen that certain breeds lay better year round like runners but I have a friend with runners and she said they stopped laying… anyway I’m wondering if a Drake would help them lay year round or if that’s just a myth. Also if your ducks do lay year round what do you do? Lights? Feed? I also heard cat food mixed with regular feed works.
This might help - It's an article on preserving eggs that I stumbled across it a while back - and it's VERY helpful. The tip to separate whites from yolks for use in baking makes all the difference in the world!
https://www.serenityoakshomestead.com/post/how-to-freeze-duck-and-chicken-eggs-for-later-use