To answer your question, it really depends on what the issues were which caused the breakup in the first place. If those issued are resolved, then there is a chance that it could work again. If not, then you two will always go back to those issues and be thinking about them, etc. That is what makes it tough.
But, if you don't mind a little advice, don't be thinking about asking her out later in the year. Live for now. If you tell yourself you are going to wait X number of days and then ask her out again, you are closing your mind and vision off from the possibility of other women, maybe even someone who would be a better fit for you. Don't do that to yourself.
Good luck.
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