You don't have to solve the problem in a single year. You can have a 10 or 20 year target to get to zero growth. Just put a cap on building permits.
But plenty of people will scream bloody murder about that. Aren't FAANGs already shelling out millions to add housing because of shortages? Nevada is trying to pipe water in from Idaho and Utah. A Southern Nevada community that doesn't even exist yet just proposed to cut off the water to a neighboring community with thousands of residents so that the planned community could build homes.
Don't reject any solution out of hand. Population growth management is an obvious place to spend some really good thinking.