At an impasse with a friend. Can't see eye-to-eye. Can someone help me reply to her email?

Lifelong friend and I had falling-out this spring where she had too much to drink and treated me in a hurtful way. After going very low-contact for about seven months. I finally decided to clear the air by putting my feelings a firm, but kind and reconciliatory email. Minutes after receiving it, she lashed out negatively, obfuscating, contradicting herself, denying what I say is true, and trying to shift blame back to me.

Our friend, who was there that night, and who saw some of what happened, believes me and her recollection mostly matches mine. But now, the friend I’m in conflict with has been working on another friend of ours who wasn’t there and has her believing her side of the story. That I’m unreasonable, blowing things out of proportion ,and not able to see her perspective.

So of course, she now feels justified in digging her heels because she doesn’t like my account of what happened or that I’m hurt by her behavior.

Could someone read the email exchange we shared last night and help me draft a reply? I’m too emotionally “in the thick of it” to be objective, but I need to stay above the fray and not get sucked into an argument. We’re either going to hash this as friends out and mend our fences or we’ll have to go our separate ways. (which will suck because we’ve been close since childhood and have a lot of close friends in common)

I’d be grateful if someone who is good at mediating interpersonal conflict can help me draft a reply that not spineless, but still encouraging a rapprochement between friends.