For someone from blahaj, I wouldn't expect that it's a secret definition, but I'm glad to introduce it. It's a concept of all the institutional and social systems that support gender-based hierarchies. It's a common term among feminists.
zero_spelled_with_an_ecks
It's all the systemic and cultural things that propagate gender-based hierarchies, usually with white men at the top. It's a concept used frequently in feminism. https://gender.study/gender-based-violence/understanding-patriarchy-feminist-perspectives/ has a short intro (you don't have to read the critiques part if it's not interesting) that covers some different aspects. There's a lot that can be placed under the umbrella like reproductive rights, gender norms, domestic violence, and toxic masculinity. Even though the patriarchy is theoretically advantageous to those placed at the top, it harms everybody.
Darksun during the Cleansing Wars?
It's been a while, so may be slightly off with some of this but: There's someone mocking another person in the very first scene of the first episode. Characters continue to mock each other throughout the rest of the episode. When that happened with Barclay on the Enterprise it was a big enough deal that they spent a whole episode dealing with it. Someone's drunk on the job, another person is selling weapons (in a post scarcity society which doesn't make sense even, and the excuse is that bureaucracy is too slow which sets up conflict), the captain has people tattling on each other. It's like the characters are all assholes that hate management and management feels the same.
I tried looking up the ttrpg but all I could find was stuff about the computer games and this link. It's there an actual tabletop game?
On Sleipnir no less!
I had an amazing pistachio petit gateau at a vegan restaurant.
Baba ganoush.
You're talking about only positions of power, whereas the patriarchy is a much larger concept. Personal qualification of people in positions of power doesn't have anything to do with reproductive rights, gender norms, beauty standards. If you're not interested in reading beyond the first little bit or doing some more research on your own about patriarchy and feminism, there's only so much water I can lead a horse to.