He said/she said overturned based on video evidence

I got into a side swiping accident, neither party had a dash cam and it turned into a 'he said she said' case, and my insurance decided no liability on my end. A month later, the other party submits a video of us interacting while exchanging insurance information, edited or cut out where I denied fault. My insurance company changed their liability decision to at-fault, claiming that I apologized (I didn't) and didn't deny fault (I did, but not in the video submitted). I requested arbitration but the insurance company told me there is nothing I can do further (they did not go through arbitration). My premium will be going up as a result of this at-fault accident.

Is there anything I can do to dispute my insurance company's liability decision? Their reasoning for overturning liability makes no sense to me.