I don't know about adding brood. Everything I've read said it helps, but David at Lookout Mtn said if I added brood and a queen, they would likely kill the queen and try to make their own. Everyone else said they'd kill the new queen if I tried to introduce one in a cage, and David said they would not.
I think adding a frame of uncapped brood each week for 3 weeks is the best way to convert a laying worker hive. But I didn't have that option. I have another hive that is doing good, but I didn't want to mess with it.
Shaking laying workers seems to not be the best option, but I had access to a new queen, and I didn't have any other option. Who knows what's right or wrong, everyone's got different opinions. I just weighed the options, and picked the one that fit my situation best.
Also, From reading one of your past posts, I think we got our bees from the same place. I'm in the Birmingham area. Got them from Lookout Mt.
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