Julian will use the single filing status when he files his $2023$ return. His modified adjusted gross income is $$90,000.$ This includes a $$6,000$ gain from a limited partnership and $$84,000$ of income from wages. While Julian invested in the partnership, he is not involved in the day$-$to$-$day activities of the business.

Julian also incurred a loss of $$10,000$ from a rental real estate activity. Although he actively participates in the activity, he is not a real estate professional.

What is the net amount of passive activity losses from these activities that Julian may claim on his $2023$ return?

$$0$

$$3,000$

$$4,000$

$$10,000$