i think it is disingenuous to represent that AC is a standard or required by law for a rental anywhere, at least in the US. I do find it shitty that the AC included with the unit is damaged, and land(slum)lord won't fix it, but again, unless it's in the lease there really is no requirement that the LL provide it in US. I think it is good to start a discussion on if AC for a rental should be the law, (edit: i also would strongly support this) but i doubt we will see that become the case, especially in southern states which probably would need it most.
people used to build houses that were designed in such a way where you didn't need air conditioning. In tropical country such as Vietnam where I live this is still the case. I have to wonder if the United States builds houses inefficiently on purpose.
We could just start building houses so they don't need them like they do in Hawaii. The well designed houses are designed in a way that allows maximum airflow when the windows are open because the price of running an ac there is astronomical.
I had a friend that was not allowed to run air conditioning in his flat. The landlord said the old wiring could not handle it. I said that all you needed was a decent UPS (they make these just for window units in India), but my friend just moved instead. 100+ F is too hot in a flat during Summer.
In the mean time instead of dying from heat exhaustion do an internet search for DIY AIR CONDITIONING and at least see what your options are. Good luck. Climate change is a thing by the way.
If this was Phoenix Arizona we wouldn't be having this conversation because all the tenants would already be dead. If there's a danger to tenants the answer seems obvious.