The conclusive answer: "It depends."
I completed my taxes using TurboTax and H&R Block online (yes, I did it twice - this was my first ever for doing my own taxes). Neither site clearly allowed you to enter the sales tax for something like this. TurboTax kind of did, but it didn't affect my bottom line.
I submitted my taxes for review by a H&R Block tax preparer and asked specifically about it. She said that technically it did, but it didn't impact my tax liability at all (i.e. my refund didn't change).
That said, your specific situation isn't something that I can safely judge from here. You're best off talking to a tax person instead of me. (Just a computer programmer!)
2018 Ram 3500 DRW/crew cab/long bed/4x4/4.10 gears pulling a 2017 Spartan 1245 by Prime Time
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| My family and I have fulltimed since June 2015