On July $1,2024,$ Emma buys a house as her personal residence for $$250,000,$ taking out a $30-$year mortgage for $$225,000$ with a local bank. She agrees to pay $1\mathrm{.}5$ points at closing, with the amount clearly designated as points in the closing agreement and a customary business practice in the area. From the time of purchase until the end of the year, she pays $$4,000$ in mortgage interest.

What is Emma$$s interest deduction for $2024?$