What is the maximum depreciation expense deduction for Year $2(2024)$ for a passenger automobile, used $100\%$ for qualified business use, placed in service on June $15,2023($half$-$year convention$),$ and costing $$16,000($the election to expense is not made and no bonus depreciation was taken$)?$

a$.$ $$3,200$

b$.$ $$5,120$

c$.$ $$16,000$

d$.$ $$3,918$