I don't really get the point of the non contact challenge if your goal is only moving on
If it is 100% toast and that there is no way back, i'd rather have a huge fight with her and bring up the worst of herself; Say hurtful things and blow it up for good. In an outburst of rage she may tell some truths like she cheated on you etc..
This is usually pretty easy to initiate given that 9 times out of 10 dumpers tend to behave with cruelty and disrespect
At least you both hate your guts after that and can move on without regrets
If i'm not going to see that person ever again i don't give a rat a** about blowing up everything and burning bridges
You may think this is weak, maybe, whatever dude, at the end of the day you would probably move on much faster this way rather than pining forever for a chick who probably doesn't deserve it anyway.
after that, there is no more temptations to reach her out except maybe to call each other names
If your plan is to get her back, well, yeah sure, you can set your timer on 3 or 4 months from now and hit her up to see if she's still with another guy or down to talk
But going 100% non contact if she dumped your a** and lost attraction for you probably isn't going to bring her back; maybe she will call you if she get dumped or depressed for some reason but it won't create enough incentive for her to want you back
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I'd think the only way is to let her cool down for a while maybe a month or two or more depending on how much she hates you, let some time erase the bad memories and how you acted beta during the breakup... and then initiate contact to reseduce her like you would do with a new chick, with a non needy outcome independent mindset; that would only happen if she is willing to communicate of course
If she has a new boyfriend there is no point contacting her during the honeymoon period or you will get blown away big time; you must either wait for the relationship to fail; and it will; or wait for new boyfriend to become old boyfriend and then initate contact; Since most women line up backups or cheat on their old bf, it shouldn't be a problem