Re-engineering our space program towards space manufacturing, mineral extraction, and building permanent residences in space sufficient enough to support the people that would be needed to build and maintain space-based infrastructure like a reflector would be an undertaking I'm not sure humanity currently has the drive for.
Science and futurism YouTuber Isaac Arthur is going to love this. Giant aluminum reflectors are a huge part of future space infrastructure and he is happy to point this out quite often.
I believe they're trying to chemically blocking the sun (using sulfur dioxide) rather than physically blocking it.
It is obvious we're not gonna fix this by changing our habits, so I'm all for a technological solution. It will have unforeseen consequences and we will deal with those, too. Humankind is nothing but adaptable.