My girlfriend jokes about me having a girlfriend or spending time with another woman?

In my case, she doesn’t like when i ask it back. She asks throughout the day when im working, “wyd? Are you with your girlfriend”. She calls me “mijo” or “dude” or “yo”, but when i call her mija, dude, or yo she doesn’t like it and tells me not to.

I have expressed that I don’t like those things either but she continues to do it anyway. So i ignore. But when i ignore she keeps pressing asking “are you with your girlfriend?” Or “are you busy with your girlfriend” while im in meetings. If i ignore further she continues with “is it true? It must be true if you're not responding”.

Im very annoyed and sick of it but and i dont know what to call it. Jealously? Manipulative? Those dont seem quite right. But she stirs up things until i get upset and then asks “whats your problem?” Or “Why are you upset or annoyed?”
My girlfriend jokes about me having a girlfriend or spending time with another woman?
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