What do I do about a girlfriend who is either all in or all out?

My girlfriend is either super clingy and affectionate or very aloof and cold. There is literally no in between. When we first met and I was interested in her she was very cold and distant and I questioned whether or not she even liked me. Suddenly within the span of three dates, she’s very affectionate, wants to see and talk to me me all of the time, baking me things (baking is her hobby) and it became overwhelming for me. When I distanced myself, she asked me if she did something wrong. I was honest and told her that I felt and bit smothered and didn’t want to rush into anything serious right now. She instantly became cold and distant over the span of a week before ending things “because we didn’t seem to be on the same page”.

Because, I guess I felt a bit pressured because I wanted her in my life still, I made things official. These last for four months have been great, but again, she’s clingy, she’s always kissing me, holding my hand, cuddling and touching me. I finally told her that I’m a bit uncomfortable with all of the attentiveness and affection. This was two weeks ago and it seems as if she’s checked out of the relationship completely now.
What do I do about a girlfriend who is either all in or all out?
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