I’m sorry, but you prove you have no idea about anarchism.

I'm quite familiar actually. This is exactly what a Marxist, or a libertarian, or a capitalist, or a young earth creationist does when they can't make arguments and just want to rely on some great collection of work that they promise has all the answers. It's quite an annoying way to try and make a point.

But anarchists don’t deny that fact. Quite the opposite: they aim for social structures where people with these talents can’t accumulate structural hierarchies and monopolize decision making power.

But people naturally fall into those patterns, unless some higher authority prevents it. See again, HOAs.

People are drawn to fascism, because they have a nationalistic worldview, where their nation is constructed for their benefit and their natiod is superior to other nations.

Nationalism (or other identitarianism) is what differentiates fascism from other authoritarianisms, but authoritarianism is at the root. Psychologically, people prone to fascism are people who fear chaos and want to believe that there is a "strong man" in charge and a well defined enemy to fight.

What exactly do you mean by these words? ... liberalism guarantees the power of the powerful by guaranteeing private property and the continued accumulation of wealth.

Liberalism does protect private property rights, but also individual rights, liberty, consent of the governed, and equality before the law. All the aspects you skipped are checks on authority. Liberalism also doesn't "guarantee" private property. Property rights are not absolute in liberal democracy and can be curtailed when necessary to uphold broader individual freedoms or to promote equality and social welfare. I think you are confusing liberalism with neoliberalism, which I would informally define as free market Darwinism with a thin veneer of liberal formalities.

Please define what you mean with “authoritarianism”, because we definitely don’t agree on terms here.

I was playing a bit loose with the term to make a point. The reality is that most people don't want anarchy, which implies that moving to anarchy would have to be forced on them, at least until they got used to it.

But aren’t [HOAs] more or less only liked by people who want to maintain/improve their property value and universally hated? Or at least universally hated if they’re not democratically managed?

Lets just say they are a great argument for anarchy. Democratically managed or not, it doesn't make much of a difference. Every resident seems to find themselves in the minority on some issue, which turns into power trips and often lawsuits. Yet, HOAs are popping up everywhere for some reason.

Liberalism doesn’t have a problem with people starving because they don’t have any bread.

And anarchism does? Sure, it sounds great that people would just rely on each-other for locally sourced food, but liberalism does nothing to prevent that from happening either. None of the anarchist arguments I have ever seen answer this without just blaming it on the current global system. I'm also pretty certain that the human population has grown well beyond the point where we can farm enough food for everyone without industrial efficiencies, and regulation of externalities like runoff and water use. Watch what's about to happen to farm capacity globally because a few mines in a strait on the other side of the planet.

You can always chose to subjugate yourself. But if you want to enact nonconsensual subjugation on others, they have the right to self-defence.

The word "subjugate" is way over the top. Anarchist or not, every community is going to have some rules that everyone must adhere to. We are all subject to each-other in all sorts of ways, and it's rarely a cut and dry case of "your right to swing your fist ends at the tip of my nose." Humans aren't built to live in isolation, and communities don't operate without rules. You are going to accuse me of not understanding that anarchists have ideas to address this, but the problem is that I do understand that. I also understand that your "subjugation" framing works just as well for them.