Arnie, a college student, purchased a truck in 2021 for \($6,000.\) He used the truck 70% of the time as a distributor for the local newspaper and 30% of the time for personal use. The truck has a five-year recovery period, and he claimed depreciation deductions of \($840\) in 2021 and \($1,344\) in 2022. Arnie sells the truck on June 20, 2023, for \($3,000\).

a. What is the amount of allowable depreciation in 2023?

b. Determine Arnie’s realized and recognized gain or loss and its character.