Should I apologize after breakup after I found she is sad and heartbroken?

I broke up with my girlfriend recently 3 weeks ago. We have been dating for 8 months. I did not talk to her nicely when broke up and i just leave her a broke text message. She did replied me and seems angry. I did not accept the things she replied to me and i told her say what you want , think what you want as i do not want to argue with you. After that she replied OK, and blocked me everything on social media including messengers. Recently i felt myself missed her a lot and created a new fake facebook account. I found she is sad and heartbroken. I feel myself so bad. Should i apologize to her?
Should I apologize after breakup after I found she is sad and heartbroken?
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