Should I pay car off?

I know this is has been asked, but haven’t seen a post similar in the current interest rate environment.

$4k left on $20k vehicle at 6.2%

$36k cash on hand

Only other debt is $6k student loan (of $7.5k) at 3.5%.

Single, income $120k.

Will purchase a house within 12 months. I’m considering both the current mortgage environment (avg. rate today is 6.72%) and timing impact to credit score (and mortgage rate) with closing a short term installment loan (<2 yrs) prior to closing on a home.