Search Results: ask him to give me a second chance

I met this girl a while back and when i asked her out the first time she tells me she can't make it. She's a medical student and graduated so you know what I give her the benefit of the doubt, plus she seem to be a kind girl.

I ask her out a second time to the movies and she said she couldn't make it. At this point I'm like ok she's not interested. She then tells me about sky diving and wanted to know if i wanted to come. At this point. I'm not sure if there was a sky diving place in my area so i give her a chance thinking she finally had time for me. However, she never message me a time and by the time she gets back to me she was on a flight already on her way home.

We are facebook friends and she does talk to me and seem interested. So you know I'm not total sure. On the one hand she seems not interested, and is a liar but she appears to be a nice person to everyone who met her. So I was like i'm going to give her the benefit of the doubt. Now i realize well this girl is a pathological liar and just liked me to be her texting buddy/attention.

Fast forward couple months later she gets a boyfriend and they break up about 6 months later. She now starts back messaging me but now instead of being friendly she now she acts more flirty towards me. I'm pretty sure she's not aware I know she's full of shit and lied to me.

Should i play her and use her for sex, call her out on her BS then stop communicating her or go full no contact and unfriend her?

Poll Question:
Would you take back someone that cheated on you?

Background:
I was recently talking to this girl that I met, and she seemed pretty cool. We exchanged social media info and phone numbers, and we talked often.

When I asked her how long she has been single, she told me she has been single for 2 weeks, and she left her boyfriend because he cheated on her. She also pointed out that I had the same name as her "ex"-boyfriend. She also told me that there was a possibility that her and guy may get back together.

Low and behold, a few days later, on her snapchat, she showed herself kissing her "ex"-boyfriend and she mentioned that they got back together.

My Thoughts:
For me personally, if someone cheated on me, I would never give them a second chance. Maybe I don't understand love, as I have been single nearly all my life... but I just feel that if you are willing to take back someone who cheated on you, it shows a lack of confidence and self-esteem. That's just me.