Don't believe everything you read. No chicken can count that well. When the hormones kick in, the chicken goes broody. That might be a week after they start laying or it might mean they never go broody.
In the wild, a normal sequence is that the hen lays a brood of eggs, maybe a dozen or more, goes broody, hatches them out, and raises the chicks. When they are anywhere from maybe 3 to 10 weeks old, she weans them. Usually she rests a week or two, then starts laying eggs to start another brood.
Our chickens are not in the wild. They have been domesticated and their instincts have been altered. They do not follow that normal in-the-wild sequence. Some will go broody even if you gather the eggs every day. Some never go broody even of you let the eggs pile up. By domesticating them, we have altered the going broody instinct. Remarkably, when they do go broody, most of them still have really good mothering instincts. Most of them, not necessarily all of them.
There is no telling when a hen will stop being broody if she does not hatch chicks. Occasionally some will stop before three weeks, but often they will stay broody for a couple of months or even more if they do not hatch chicks. For a few, it seems like it might last forever, but most will eventually give up even if they does not hatch any eggs and you do not break her from being broody. But for some, that can be several months.
Once they wean their chicks or are broken from being broody, they will lay eggs again. Most of mine start to lay within a week or two. I have had one start laying before she weaned her chicks, about three weeks after she hatched them. One started a molt while she was raising her chicks so she waited until the molt was over to start laying.
I cannot tell you when a hen will go broody or when she will start to lay again after being broody. But I can tell you that chickens cannot count and they are not consistent.
