In $2022,$ Paul, a single taxpayer, has taxable income of $$30,000$ exclusive of capital gains and losses. Paul incurred a $$1,000$ short$-$term capital loss and a $$5,000$ long$-$term capital loss. What is the amount of his long$-$term capital loss carryover to $2023?$

a$.$ $$2,000$

b$.$ $$5,000$

c$.$ $$0$

d$.$ $$3,000$