Have a hive that is three deeps that is still full of bees. Will they eat themselves out of food?

Air was humid, so bees were slow to cap the honey. Removed two deeps and a medium of honey about a month ago. Not capped to 80% and I am waiting delivery of a refractometer(got back ordered) and will deal with the honey or feed it.

Fed some sugar syrup, to ensure they had cells full.

Would have liked to go to two deeps, but there would have been some homeless bees.

With three well stocked deeps and full of bees, will they have food till spring/April?