"Women grow social connections and clubs at hair salons, nail salons, spas, bars, dance clubs, randomly walking around downtown, parks, and a slew of other places."

If it makes you feel any better, I don't think I've ever grown a social connection at any of these places...I never go to hair or nail salons, or spas, or bars, or dance clubs, and I've only met someone in a park once, and she was an 80 year old chinese woman that I randomly got into conversation with (I was microdosing mushrooms at the time - that does make me friendlier!)

I'm trying to think where I met the women I am good friends with. One was from work. One was a fellow expat I met while abroad (we met through mutual friends). Several are from Jr. high school, and you can imagine, it took a lot of energy and effort to keep those going (I'm 40 now, so that's like 25 years of effort into these relationships).

"Building social connections that would profit a man's mental health are either dubbed as a part of a patriarchy that needs to be destroyed by many"

Well, other people can dub those places however they want - they still exist, and if you think they'd help your mental health, you should go for it.

Anyway it kind of just sounds like you're being a bit unneccessarily negative about your options, or rather I get the sense that you would shut down any suggestion I make, so I won't bother with that, but I will tell you that it can also be hard to make friends and maintain social support on the female side of the equation. Especially when you're my age! College ends, and suddenly, boom, if you don't have a husband and kids, there's not a place for you, socially. I exacerbated the situation by leaving the country for the better part of a decade and working from home since I got back to the US - now I don't really fit in anywhere, especially since my travel buddy got married (I wrote about it here if you care to read - I also talk about how our modern societies are set up in a way that makes us super lonely: https://medium.com/atta-girl/when-your-travel-adventure-buddy-gets-married-523bc198dea8)

Anyway I really hope you find the social support you're looking for. I think you'll probably end up just having to put yourself out there, over and over again, and possibly getting burned. I'll be doing the same thing. We can be rejection buddies =) jk. Really hope you get what you need, though.