THE TWO WINDOWS, HONESTLY
You will hear people talk about fear periods with total confidence. We are going to be more careful than that, because the two windows do not rest on the same quality of evidence and you deserve to know which is which.
The first one, roughly 8 to 11 weeks. This is well established, going back to Scott and Fuller's work on canine development in 1965. It also makes sense: in wild canids it lines up with the age pups first leave the den, and a pup who is wary the first time they walk into the world lives longer. It also lines up almost exactly with the week most puppies get taken from their litter and driven to a new house.
The second one, roughly 6 to 14 months. This one is real enough to plan around and softer than it usually gets stated. A secondary sensitive phase around the onset of sexual maturity has been described in the literature since the 1970s. What does not exist is a clean, well mapped study of the kind the early window has. The timing moves with breed and size, because the thing it is tied to moves. A small terrier and a Great Dane do not hit it the same week.
What the research supports more strongly
The part with the best recent evidence is not fear, it is conflict. In 2020 a team from Newcastle and Nottingham published a study in Biology Letters on adolescent dogs. They found a peak of conflict behavior around eight months of age, and the detail that matters most to you is this: those dogs were less responsive to cues from their own person while still responding to a stranger.
Read that twice. When your nine month old blows you off in the yard and then performs beautifully for the trainer in the driveway, the conclusion most owners reach is that they are failing and the dog respects the trainer more. That is not what is happening. This is an adolescent pushing against the person they are attached to, which is exactly what human teenagers do.
The same study found adolescent conflict behavior was more likely in dogs with a less secure attachment to their person. So the answer is not to get harder. Getting harder damages the one thing the research points at.