Raising taxes is not going to increase the supply of housing.
That is, if you lowered rents 50% through increased housing supply, it's not clear how many formerly homeless people will now be housed.
All new houses and transferred properties are taxed at the value they were purchased.
Unrelatedly, Brisbane found that they could raise 9 times as much revenue and provide 0 times as much additional services to residents by approving hotels instead of housing. https://brianlui.dog/2018/08/01/housing-shortages/#_edn4