My (24M) girlfriend (21F) keeps making jokes about me being “well trained” and it’s making me uncomfortable

She’s been making these jokes for the majority of our relationship, on top of these jokes she makes other jokes about beating me if I disobey and other jokes along those lines. We had a talk about it recently and it seems like she isn’t able to understand me. She told me when she says I’m well trained she’s just letting me and other people know that I’m a good boyfriend who accommodates to their partners need, which a lot people don’t have, and they’re only jokes. I understood that but I asked her why she couldn’t just say that instead. When she makes those jokes it makes me feel like I’m her pet and not her partner. She got frustrated told me I’m not understanding and that I’m taking it to personally and that I’m asking her not to have a sense of humour, and that she finds these jokes really funny. She’s not an abusive girlfriend, she doesn’t actually “train me” and she would never hit me, but I’m having trouble explaining that I understand her humour but the language she uses makes really uncomfortable. I’m not trying to restrict her from expressing herself but I don’t like hearing these jokes. How do I communicate why these jokes are harmful to me?