My girlfriend tries to be too cute with me and it feels fake/ unnatural... How to get her to back off?

Anonymous
I don't know what it is. She seems to desire some sort of fantasy romance like our relationship is too fake and unnatural. I like her but don't love her. We've been dating 2 1/2 months.
I haven't said I love her because I don't know what it means. To me if I loved her I would still think about her if she was absent from my for a yr for example. Anyway, she's already told me she loves me and I changed the subject. She tries to get me in situations where where really close together and kinda have to stare into eachothers eyes so I have to speak all lovey dovey.
She wants to cuddle a lot and says she wants to know what Chapstick I like on her. I'm guessing to kiss her more often. She sits on my lap even if chairs are available. She distracts me from playing my console by attempting to be 'cute' with me. by the way she never gave off vibes that she was fairytale like she seemed a moody looking kinda girl before we started dating.
Is she just too emotionally invested? She just wants to do everything together when we go to buy coffee she says she doesn't want one and gets something else but later decides she wants to drink it with me one sip for me one sip for her lol. Im worried she's the type of girl to want to go through my phone/ private things because she feels where one person now?
What should I say to make her calm down?
My girlfriend tries to be too cute with me and it feels fake/ unnatural... How to get her to back off?
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