The trailer suggests that there are four possible explanations for this incomprehensible level of precision, but for reasons I'll explain in a moment, there really are only three.
The first is that something about the universe makes it a logical necessity that the values cosmologists find are in fact the only possible values a universe could have. There is no reason, however, to think this is the case. There's nothing about the universe, as far as we know, that makes it impossible for gravity or the strong nuclear force, to take just two examples, to have slightly different strengths.
The second explanation is that even though it's astronomically improbable that any universe would be so fine-tuned that living things could exist in it, if there are other universes, all with different parameters, universes so abundant that their number approaches infinity, then one like ours is almost bound to exist. This option goes by the name of the multiverse hypothesis.
The difficulty with this idea is that there's no good reason to believe other universes actually do exist, and even if they do why should we assume that they're not all replicas of each other, and even if they're all different whatever is producing them must itself be fine-tuned in order to manufacture universes, so all the multiverse hypothesis does is push the problem back a step or two.
The third explanation is that our universe is the product of a very intelligent agent, a mathematical genius, which exists somehow beyond the bounds of our cosmos.
There are actually two varieties of the third option. One is to say that the designer of the universe is a denizen of another universe in which technology has advanced to the point that it allows inhabitants of that world to design simulations of other universes.
The trailer treats this as a fourth option but since it posits a designer who resides in some other universe it's actually a combination of the second and third options and suffers some of the same difficulties as the multiverse hypothesis. It also assumes that computer technology could ever simulate not only an entire cosmos but also human consciousness, which is certainly problematic.
The other version of the third explanation is to assume that the designer of our universe is not some highly accomplished computer nerd in another universe but rather that it is a transcendent, non-contingent being of unimaginable power and intellectual brilliance who is the ultimate cause of all contingent entities, whether universes or their inhabitants.
Which of these options is thought most attractive will vary from person to person, but philosophical arguments won't settle the issue for most people. Human beings tend to believe what they most fervently want to be true, and what they most want to be true is often whatever makes the fewest demands upon their autonomy and their lifestyle.