Filing my first Aircover claim.

Had a guest staying for 28 days. Prior to their arrival we did an entire unit deep clean to ensure it was in great condition for their stay. The stay has ended, we find the unit in a mess upon check out. Burn marks in the rug (non smoking unit), stains on every linen, grease stains on chair & sofa in living room, dishes piled high, needle in the bottom of garbage can. Needless to say we were shocked after the booker had 4 really good reviews. We submitted a claim through aircover & this guest is denying everything. Burn marks were already in the rug, stains were there, we left the unit in good shape & cleaned up before we left. They have refused to pay the claim amount so I have elected to involve Airbnb. We knew that we would want to do another deep clean upon completion of their stay, which we budgeted for out of our monthly revenue but didn't expect needing to replace items & steam clean/shampoo a bunch of the furniture.

Anyways, here to ask, what are the chances anything comes of this? Do we just bite the bullet & go buy a new rug, linens & eat the extra cleaning fees or is there still a chance Aircover does something even after the guest denied? I've attached a couple of photos for reference. 

Thanks.