My boyfriend thinks I’m embarrassed of him?

Okay so me (F18) and my boyfriend (M19) are definitely still in the early stages of the relationship, but have known each others since kids. We were having a conversation talking about how we are feeling atm, and he randomly brought up that he thinks I am embarrassed of him. I quickly said I wasn’t but also asked why he thought that. He said it was because I don’t give public affection towards him. From my pov this is my first relationship still a little new to everything that comes with it. It’s not like I don’t show any affection towards him in public I hold his hand and hug him. I don't know I think he’s more thinking of kissing and me being all over him. I definitely don’t want him to think this cause if anything I am punching in this relationship. What can I do to stop him from thinking this?
Please help thank you.
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F18 by the way I don't know why there is an emoji
My boyfriend thinks I’m embarrassed of him?
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