Should I moove on and cut ties with her?

I dated this girl for a 3weeks before bein a bit clingy at some point. She said we should stay friends and she only see's me as a friend too. I met two of her best friends 3weeks later who told me that she told them she liked me and I should pursuie her. I also think she likes me, she is flirty and all but I feel like she see's no point of starting anything because we won't see each other for 2month since she is working aboard for the summer. I'm thinking of cutting ties because I feel like she should just straight up tell me what she really feels about me and not send mixed signals, that's a bit unfair to make me wait in the corner unsure.
Should I moove on and cut ties with her?
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