If I get it correctly, she's quoting gay porn "Karate club - Sexual subterfuge" (空手部・性の裏技). Refer to https://dic.pixiv.net/a/%E3%83%90%E3%83%83%E3%83%81%E3%82%A7%E5%86%B7%E3%81%88%E3%81%A6%E3%81%BE%E3%81%99%E3%82%88%EF%BD%9E

I'm sure it's that one because of the weird dialect/way of speaking from the videos. It's basically a meme
Edit: Actually I'll put a check_translation back to this. I feel like I don't fully understand the weird reference in the text