Explain your reasoning for why women wouldn’t perform to roughly the same level as everyone else in their performance class.

Because the entire concept of "performance class" is absolutely stupid. I don't even know how to argue against it because the entire concept is dumb. Sport is about competition, who is the best etc. Your performance class bullshit would kill that off.

I know you probably don’t want to hear this, but the biological differences between cis and trans people are irrelevant. Sports were only segregated because men’s precious feelings get hurt when they are bested by women. Forcing trans women to compete against men will cause men to lose to people they don’t recognize as men and thereby create more problems than were solved.

Actually, sports were segregated because the average women can't compete with the average man, and a single look into the guiness book of world records would show you that. However, if that's your world view, I'm sorry, no point in arguing. I'll still answer the rest, but that's probably the last thing I'll answer from you.

Bans on trans women in chess have been a multi-year scandal for the International Chess Federation.

I am well aware of that, but it shouldn't be. Chess is about intellect, not physical prowess, and women are absolutely on the same level as men.

When did they start segregating e-sports? Last I checked, the big tournaments were all mixed.

They don't ... because physical prowess is irrelevant.

Because abandoning fairness to enforce gender testing that will primarily harm cis women by excluding them from competition for having too much natural testostetone like Caster Semenya is better, right?

Caster Semenya has a condition causing her to have much higher testosterone levels than other women. That has nothing to do with trans people. I do agree that excluding her because of this is unfair.

Anyways, as I've stated above, that's the last thing I'll answer as you don't have any arguments, just feelings and "men bad". Have a good one!