The right of association is an essential human right; this means you can exclude anyone from your space for any reason, or on a whim. Any "law" saying otherwise is a violation of your basic human rights.
It's a bad feeling to be excluded. I've experienced it and I didn't like it.
It doesn't matter.
People have a right to their exclusive spaces. They can base them on any criteria they choose, or it can be totally arbitrary, based on "I don't like how you look".
Those who have been excluded from some space have the right to establish their own spaces and exclude those who excluded them. Or not.
It doesn't bother me that I am not allowed in a women's dressing room or restroom. I can imagine an emergency situation where I might invade a women's restroom- but I would know I am doing something I have no right to do, and I would be as respectful and contrite as possible. I wouldn't act entitled, but I would be extremely apologetic. If someone punched me for being in there, I would deserve it.
If people of some particular "race" wish to have a club for only "their own people", I would respect that wish. Even if I really wanted to participate. If I liked their club idea, I might establish a similar club for myself and those who want to join- I can't imagine excluding anyone because of something as trivial as "race". Anyone who didn't enter and try to archate would probably be welcome. If they smelled really bad, I might ask them to address that issue before coming back- unless stinking was fundamental to the purpose of the club.
I have never understood those who want to invade other people's spaces. Why insist on being where you aren't welcome? So often, they then ruin those spaces, making them into something even they don't want to be a part of anymore. It's just dumb.
Respect the right of association. If you want to join, try to earn an invitation. If you can't, move on. You'll be OK.
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