Its wild how the solution to housing costs is really just: Build more housing. Keep law and order. No it doesn’t need to be “affordable”. Yes rent control is a terrible idea. Just build more housing. Note: that the US already has plenty of housing and housing costs basically go up in areas of low crime relative to economic opportunity. If you build housing, but allow crime to rise, you have wasted everybody’s time.
Vienna built housing itself, with this housing it was possible to have cheap rents and keep rents from private investors down. https://en.wikipedia.org/wiki/Housing_in_Vienna
It's a "yes, and" problem though, mostly. Let the market build what it can, and if you want to pursue social housing, do that too - just don't let the perfect be the enemy of the good and delay the reforms while you try and put together all the social housing pieces.