Preface: im not terribly smart on all this.
Short version: patriarchy serves as a vector for reproducing social structures and preparing children for their futures so that they fill their roles within society. It is itself a system of a hierarchy of personhood (and violence), but it exists alongside capitalism and not because of/in service to it. Primary function as far as i can tell of patriarchy is to ensure births (under capitalism this is beneficial in many ways (e.g. replenish the reserve body of labour)). Patriarchy serves to make women property and ensure control over reproductive labor.
::: spoiler longer rambly version (but still simplified)
So, im not super well read, but the way i view it is that patriarchy (or rather, the western gender system which has patriarchy as a characteristic (dw ill get into it below)) exists alongside capitalism. It existed before capitalism and had synergy with prior economic structures and systems as well as capitalism. So, patriarchal control (really, a hierarchy og personhood backed up by violence all along gender lines) developed alongside the development of capitalism, and doesnt really serve capitalism in a hierarchical sense, but is synergystic with capitalism (and vice versa). Any economic system that requires laborers, but especially capitalism which requires a reserve body of labour, benefits from a system that ensures births, which patriarchy does quite well by subjugating people who can give birth and forcing them into that labor (e.g. prime example is the nuclear family).
As an aside, our gender system is binary and patriarchal, meaning it defines 3 classes (men (i.e. cishet men), women (i.e. cishet women), and the delinquent class (anyone who doesnt have the same relations to reproductive labour as the other two classes (so, gay men, lesbians, trans people, bisexual people, etc.))). Additionally it defines a hierarchy of personhood and violence, with men on the top. (Also this is super simplified version it plays out in much more complicated ways than this).
Considering and using the terms defined in the previous paragraph, within the context of the nuclear family patriarchy+capitalism establishes a social contract whereby the man works, is exploited, and brings home a wage to support his family. The woman works in the home, being maid, therapist, punchingbag (physical or emotional), and most importantly to this system childbearer and rearer.
Patriarchy also serves as a really important vector for reproducing social structures. It trains children in their future roles. Young boys learn that they are future masters but also future wage slaves, and young girls learn that they are future homemakers (to put it nicely...). This helps capitalism by training the young boy to accept oppression in exchange for getting to be the master of his house/have dominion over women (unless they are owned by another man (yes property relations are in play)), and trains the young girl to accept oppression in exchange for some financial security through marriage (remember that women until recently couldnt work, couldnt have a bank account or get a loan, etc.)
Theres way more that could be said, and many people smarter and more educated than me who could say it.
serotonin syndrome is scary and im glad you avoided it!
its hard and intense but youve got this and i have faith in you to find ways forward. Im so glad corgiwithalaptop has been able to offer a place to stay!
It was one of the tactics used. Buy land -> learn to work land from locals -> evict locals.