That service can also be provided by some entity that isn‘t profit seeking. Especially with modern technology, it shouldn‘t be any trouble at all to manage a part of housing stock for temporary accommodations without a bunch of wealthy people as inbetween. Make it something like nonprofit/coop or rent controls, if you don‘t want to go for full on socialism.

Vienna is actually a good real life example for this in action even under capitalism, where the city owns huge apartment blocks and thus keep the prices generally lower, since space is available that is not for profit.

Here, found an article explaining it: https://housing4.us/how-vienna-ensures-affordable-housing-for-all-with-an-extremely-complicated-housing-system/

That one might actually explain a bit better to how this came about too: https://www.politico.eu/article/vienna-social-housing-architecture-austria-stigma/amp/