So, anyone claiming to have 2,000 GPUs at home is either lying, misrepresenting their setup, or using a commercial or industrial facility?

You're here for fun, who would be foolish enough to use common sense to solve this problem?
67 was solved via vast.ai + automated scripts to rent instances.
You'd need a dedicated nuclear power plant + a modest neighborhood full of RTX 4090 in each home if you intend to solve such a puzzle at home in less than a few months.