Nope. She has already made the decision that you only wanted to hit it and quit it. Everything you do will be seen through that lens.Is there anyway I can change the script now?
She gave you three chances and you failed each one miserably. She's likely already verified her deepest fears about you with "layla."
THE ONLY WAY
Would be to start over, be friend, go VERY LIGHT on the escalation and take a few MONTHS to warm her up again.
When a girl decides you are ONLY in it for the sex, you can't change her mind with words.
Only ACTIONS that speak otherwise.
Months of actions that show you really are interested in a relationship.