My ex best friend and i got into a fight last year. Should i apologize? More details provided below :)?

My best friend of ten years and i got into a fight last year and have not talked since. When we see each other (which isn't often) we ignore each other. The argument started because she had not been truthful to me the last three years of out friendship (it was not a huge lie but, something i felt i should have been informed about) the way she treated me when she was in an relationship, and her personality was starting to change and it seemed as though our morals and interest were becoming different. It got to the point where we had a class together while this disagreement was going on and i sat one seat in front of her and we completely ignored each other. Part of the disagreement was about how she would let her controlling boyfriends take over her life and she would leave little to no time for us to hang out. Months after the disagreement she texted me and it was clear that the fight still bothered her; so i offered to meet up for coffee or lunch and discuss what happened over the past few months. She then replied back and said she would text me when she was off from work so we could meet up and she never texted me back. I did not think anything of it and moved on. After a year of having this disagreement i am now in my first relationship which is healthy and happy, i am doing well in school, and am planning to go to emt school in the fall. With in the past month part of me has question if i should go and apologised for the disagreement between my ex best friend and i. However the fact that she now has a new best friend and is into different things now makes me question if i should just except that fact that both she and her family played and important role in my childhood and are great people however we have just grown apart and have begun to express new interest. Part of me says i just need to apologize for letting something such as a boy get in the way. Now that i am in a relationship i do not agree with what she did, but i have more of an understanding. When a relationship is new it is excited and you want to spend time with that person and get to know them better. Part of me says even though i have never been one to say sorry first do not let pride get in the way and ruin a friendship that could be reunited. While another portion of me says i have extended myself enough and i just need to except it and more on. I have lost and gained many friends over the years and no loss has ever bothered me except this one. So what do you guys think i should do? -Kayla xoxo