There is no one set time for everyone. From what you described, the both of you are single thing, you NEED to do it. I've been in that situation and we totally regretted it. We are both separately happy with new lovers, but we still wonder what if now and again. Magical things can happen!
But yes, you do need to take at least a little time to reflect even if it is just the length of a cold shower and a cup of coffee. It doesn't matter whose fault it is for the relationship ending, there is always something you can do improve yourself so it doesn't happen again, at least not the way it did. I hope that makes sense.
But if you feel ready, totally go for it! I wish you the best of luck!