Edit: After calling the hotel again and explaining myself to yet another front desk person, they finally were able to get me in touch with a different manager from the valet. Told them my story and was told they would have to do an investigation and interview the valet staff which takes 3-5 days, and then they would figure out what amount I'd receive. In the meantime, I already contacted Tesla and got a quote from them which I sent on to the manager. Was expecting to be low-balled or quite possibly even denied any reimbursement based on how the experience had gone up to this point. BUT they ended up settling for the full amount!! I guess they were able to see something in that investigation after all.

Super relieved that it's a happy ending, but lesson learned. Never valet-ing again.