It's possible to build more housing and have rent control. Rent control is the only thing allowing working class families to live a dignified life in the USA's most desirable cities. Land value tax and social housing are simply not politically feasible – rent control is.

That is simply not true in any way. Have you ever lived somewhere with rent control? Working class families who have members working jobs in rent controlled areas commute in from often over an hour outside of the city. There are only 3 types of people who live in those cities: those in public housing, upper middle class and wealthy. Their plumbers live in Tracy.