I would quit. That's so infantilizing. We're adults we don't need these hand holdy forced "team building" ice breakers. Just let us work together and I promise we'll get to know each other as much as we need to to get the job done.
Of course, in a way this means I agree with you - if you are not someone who wants to be on a team that spends time and energy on the warm and fuzzy team building tasks... quitting probably is the right move. There will be other teams that work better for you.
"I get paid to write code, not to be a human!!!!"
It's pretty obvious the bias here if you flip things. We all know that both emotional labor and physical/technical labor are required to get the job done. If you said everyone would only be rated on hard metrics around their social abilities, and the programming would be left up to whatever each person feels like, it would lead to technical chaos. I doubt anyone would say, "That's so infantilizing. We're professional programmers we don't need these hand holdy forced "engineering architecture" meetings. Just let us code together and I promise we'll build the product the right way, and on time."
In the same way, if you don't explicitly plan and architect the culture at your company, it can lead to similar chaotic situations. People only associate organically based on similar background, similar interests, similar personality, etc. This leads to basically every single bias that everyone not a white/asian straight man has been screaming about for decades in tech.
I have talked about this before here, but I don't really understand this idea companies have about promoting/demanding social things at work, or having a dedicated 1:1 block with managers. Are developers so social awkward that you need to have someone higher up blocking time for you to talk with people/managers?
Whenever I have an issue with my work/company I just do a 'hey, when do you have 5 minutes, need to have a chat about something' message and then talk with the manager/person about it. These 5 minutes chats have been as small as 'want to spend some time with my kid so will take a couple long weekends' to 'i am not a good fit for this company, so I will be resigning by end of day'. Never had to have it scheduled like I am a fucking 5 year old that needs an adult to time box his life.
Obviously it's not a perfect approach as one cannot force candor or trust, and frequency must be tuned to the needs of everyone involved.