I'm not an expert, but I don't think that you should turn them 4 times a day. If you turn them an even number of times per day like 2 4 or 6 they eggs will lay at the same side every night. But if you turn them an odd number of times per day they will alternate between sides every night.
Hens go broody when you don’t want them to… and won’t go broody when you do.
Congratulations!