On January $2,2018,$ the Philips paid $$50,000$ cash and obtained a $$200,000$ mortgage to purchase a home. In $2023,$ they borrowed $$15,000$ secured by their home and used the cash to add a new room to their residence. That same year, they took out a $$5,000$ auto loan.

The following pertains to interest paid in $2023$:

Mortgage interest

$$17,000$

Interest on room construction loan

$1,500$

Auto loan interest

$500$

For $2023,$ how much interest is deductible prior to any itemized deduction limitations$?$

$$17,500$

$$17,000$

$$18,500$

$$19,000$