Paid $4k down payment but it is not subtracted from payoff price?

Hey guys, I bought a 2015 Honda Accord recently.
I got the bill today the payoff amount was $30k. But I put $4k down payment so I can get lower interest rate.

The car is financed for 6 years and they told me it would be more than $4k in interests.
So I would like to know should that 4 thousand dollars be subtracted from the total price?

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