Sales tax on used car purchased

I live in CA. I purchased a used car from a dealership in California in 2022. I paid sales tax of $1,622.40

 

Turbo Tax is using the standard deduction for me, which is higher than my federal itemized deductions. 

 

Although I have reached my $10,000 limit on Federal Schedule A, line 7, under "Taxes you Paid," I can still get back a few more dollars from California if I list the $1,622.40 under "State and local personal property taxes" line c, of the Federal Schedule A (Taxes You Paid).  Is it okay to go ahead and include the sales tax I paid for the car?