Am I over analyzing and should I just walk away?

So my ex girlfriend dumped me almost a month ago and since then I've been calling and texting trying to convince her obviously. she's at that point where she doesn't want anything to do with me. She's been seeing this other guy whom I assume she's been talking to since our relationship and she seems really into him. She says i disgust her because I dropped the ball on something personal. she always replies to my texts and calls though and never ignores me completely. I haven't even tried NC.
Am I over analyzing and should I just walk away?
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