I have never heard of Dog Balm and it may help, but it looks to me to be more for dry cracking paws, rather than for burns.
If it were me, I'd find a vet I could get into today so that you can get something for the pain and something topically for the paws to help them heal and to protect from infection. Something for the pain would be *key* and needed ASAP.
Welcome to YT

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