"For me to detach and give an impression that I have moved on."
Seeker,
Never, NEVER do anything like that. This is all about working on you for YOU. Because, if you "change" based on the hopes of winning another back and that fails, that leads to resentment. A lot of it.
There are moments in this life when you are so confident in the rightness of your actions, that not even for a second do you consider the option that you might be wrong.