The last 10 years has seen CA spend more on homelessness than ever before, and more than any other state by a huge margin. The result of that giant expenditure is the problem is worse than ever.
I don't want to get deep in the philosophical weeds around human behavior, techno-optimism, etc., but it is a bit reductive to say "why don't we just give homeless people money".
Spending money is not the solution. Spending money in a way that doesn't go to subcontractors is part of the solution. Building shelters beyond cots in a stadium is part of the solution. Building housing is a large part of actually solving the problem. People have tried just giving the money but without a way to convert cash to housing the money doesn't help. Also studies by people smarter then me suggest that without sufficient supply the money ends up going to landlords and pushing up housing costs anyway.
Many of the above were discovered by people explicitly rejecting profit as an outcome. Most of the above predate modern capitalism. Several were explicitly government funded.
Do you have a single example of a scientific breakthrough that saved tens of millions of lives that was done by capital owners?