What does it mean if your Boyfriend calls you pet names that used to belong to his ex girlfriends

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My boyfriend really liked his third ex girlfriend and they called each other babe. Their relationship lasted almost three months, but she cheated on him. His fouth ex and they called each other baby and they dated for almost two months. We have been dating for three months almost four now. He calls me babe and baby and I was just wondering if he is thinking about me when he says that or is he thinking about his exs? Should I suggest a new name? I have told him that it bothers me, but he still does it. What is happening and what should I do? What is he really thinking when he calls me by pet names of his exs?
What does it mean if your Boyfriend calls you pet names that used to belong to his ex girlfriends
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