We don't know. The best we can do is model it as a random variable based on what little data we do have. What data do we have? Well over 2 million border encounters for 2023 and 2024. For a nation of over 350 million that doesn't sound like much but remember, housing is an inelastic good where a 1% fluctuation in the supply can be an absolute shock to the system.
These people have to live somewhere — and whether they're taking up a single bedroom or an entire residence, they're living somewhere. So I don't think you should be downvoted. There's nothing wrong with asking about how an uncountable yet sizable population will affect the dynamics of an inelastic good.