Hi! It was very nice of your ex to reach out to you. It seems like she MAY be open to a reconciliation given that she said " I should have given you more of a chance to talk and I’m sorry"...maybe she means you could talk about it now?>
How about suggesting meeting up for a coffee or something so you could both talk?
and yes, your response shows that you are alright with her reaching out too.
All the best!
What I really like is how you are looking within and learning from this. That is terrific. Time will tell if she decides to give this another chance but either way, you've learned a very VERY valuable lesson to keep with you for a lifetime. I don't think it is bad if you text her in a few days asking if she wants to get a coffee, coke, or whatever in a casual way to talk. You'll know from that if she was just being nice or if she has any interest in reconnecting. good luck and please let us know what happens!