How to apologise to someone who pretends not to care?

Hi,

Me and this girl had been seeing each other for 2-3 months and she told that she liked me. We had an argument which was solely my fault. This was because she added my friends snapchat without my knowledge and I wondered as to what her intentions were.

I told her that I thought that she was different from other girls. To which she responded
Am I like them?
Just because I added?
Anyway that doesn't justify how I am.
But OK.

Everything went silent for a while. She sent me a blank snap of her out in a pub after 4 days. Finally after 11 days I decided I was stupid and stubborn enough and reached out to apoligise. I got cold feet, but she knew I was online and typed a? In snapchat.

I said:
I know we haven't talked in a bit. I am very stubborn and stupid at times. I was focusing on the wrong thing and I misread the situation. I wish I could take back what I've said.

I'm sorry.

She responded;
Hi, everything you said I knew wasn't true about me, it's not because I talk to your friends, that I'm just like girls, I know my character.

I responded with;
I got it very wrong. I sincerely apologise.

She read the last message and didn't respond. It's been 3 days.

I know it's probably way too late to reconcile, but for you ladies out there is there any way at all I really could up my chance to get back together. I just want to leave knowing I fucked it up but that I did trymy best to fix things. This girl is a leo star sign and is very headstrong.
How to apologise to someone who pretends not to care?
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