Apology letter to an ex?

I'm conflicted on whether it's okay to reach out to my ex that has blocked me to apologize. We broke up and have been in NC for 7 weeks now. There are a lot of mistakes that I made throughout our relationship stemming from hot and cold behavior and I know that hurt her immensely. I became uncertain of what I wanted and neglected the work needed to be done to try and make the relationship work. I've done a lot of self reflection the last two months and understand completely how my actions hurt her. I've written an accountability letter to take responsibility for everything and apologize. There is nothing I am wanting from her, I just don't know if offering these words of validation can help her healing process or if it will make things worse. She said before that I was not capable of taking accountability for things, and I know that to not be true. I've stayed in no contact to respect her space since being blocked. I have so many of these thoughts weighing on me that have left me incredibly stuck. Have you had any experience being in this type of situation, on either side?

Apology letter to an ex?
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