How many brackets are there? 10? You need 5 wins to advance. You can lose 50 times...

50 losses means someone has 50 wins, which means you filled the entire second round with just one opponent. 50 games means you wasted at least a month of your life, and after the 5th loss, you should have thought, "Is it even worth continuing?"...

I think it would be better to make it so that a win gives you a certain number of points, and a loss takes away points, and the one who scores a certain number of points advances. Perhaps it would be worth introducing some coefficients so that a weak player gets much more points for winning against a strong player, and vice versa.

As with any tournament, "weak players" won't have access. And if a person has played at least 10 games on HotA, they are not that weak anymore.
The second limiting factor will be that a "weak player" is unlikely to voluntarily challenge a "strong player" to play on his map and knowingly lose... And in the opposite case, the game will be on their own map, and they can always refuse.
I am really annoyed by these "strong" and "weak" statuses - tournaments are held for that, not just to calculate a rating.