DC Restaurants near the Hay Adams

We’ll be staying at the Hay Adams for a few days in February for a wedding. Looking for nearby interesting and reasonable restaurants. We only have a few meals that aren’t part of the wedding and would like to make them count! We like food from west of Turkey and south of Texas. Rasika has already been booked for the rehearsal dinner. Last time we were in DC we had Ethiopian and went to Zaytinya.