Should I allow my Ex wife back?

We recently broke with my wife on many issues including respect. Since then, we've been communicating like frequently if not daily, like knowing how the kids are progressing etc.
After the brake, she went and find a job at a bar/restaurant. There, she has encountered many men interested in her and giving her money and taking her outs though she firmly says that she has not slept with any yet. She claims to enjoy such kinda life cause she's not obligated to anyone or whatever. She even acquired another communication line/number specifically for mixing with men.
After like a month and a half, she started talking about coming back stating that she doesn't want to get spoilt and that she doesn't want to harm the kids after deeply getting intimate like touches with other men as per the community beliefs. Though she's like 50/50 cause she claims that that kinda is too good and she wouldn't want to leave. And still she claims to really love me , and would want a father figure around the kids who is me.
Also she had an idea of going back to the previous Ex if not me

What should I do regarding this matter?
Should I allow my Ex wife back?
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