I love how you phrase this like it's some kind of gotcha. I assure you it's not.

Inequality is inevitable and unavoidable. Prioritizing equality as the highest virtue shows a level of understanding of how the world works that is borderline childish.

People differ in their ability, intelligence, work ethic, interests, inclinations, priorities, output as well as every other measurable metric. You can engineer a society to flatten all of these out a much as possible and it turns out that people end up naturally diverging on their own, especially down the gender divide. See Scandinavia.

Your notes read like every other mid-twentysomething that's read Marx once, gone to a few feminist rallies and spent hours on Youtube watching some commentator or another "takedown right wing YouTube.". Your idealogical worldview is an unworkable one and I promise that reality will continue to function in a way directly opposite to it.

Now if you don't mind, I'm going to enjoy a nice dinner that my wife (who does not work) made and then play with my daughter (who is an actual girl) before bedtime. Have a lovely day!