Your flaw in logic and reasoning is applying logic and reasoning.

Dude doesn’t even remember elementary school English lessons.

No, we convince them that having sex is woke.

It doesn’t work that way. These “people’s” worldview is “heads I win, tails you lose.” They will be selectively hyper-credulous to whatever bullshit they want to believe, while turning into hyper-skeptics about anything they don’t want to believe.

You will never, ever win against them with a logical argument, not even reverse psychology, because the only rules they play by are the ones they make up second-by-second to make them victorious against you.

Gender is why we need all the different pronouns in the first place.

Don’t they already believe that? What you call gender is a concept they don’t believe in. They use the word as a synonym for assigned sex.