Does it count as cheating if she never slept with you once but calls herself “your girlfriend”?

Week 1: She called me her girlfriend and asked to have sex that weekend. She slept with another man instead.

Week 2: She apologized and said she wouldn’t do it again. She does indeed do it again.

Week 3: She begs for one more chance. She sleeps with yet another man who isn’t me that weekend.

We haven’t had sex yet. Is this still cheating?

Does it count as cheating if she never slept with you once but calls herself “your girlfriend”?
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