It depends. How much daylight they get.
Some people think that birds quite laying and raising babies because it's cold
. It's actually because of the daylight hours being shorter. The temperature doesn't have much to do with it. That's how pigeon fanciers raise babies in the winter months. We turn on the lights and they think it's spring and summer.
If your birds are getting natural light, which means shorter days, then most will stop laying for the winter. SOME however, (I've got a few) will lay eggs no matter what.