> Where will the future unemployed be redeployed?

Pay attention to which jobs currently pay well, those jobs are the most likely to get pressure from surplus labor.

There's also a big and growing demand for health care and care for the elderly.

I doubt that automation will truly replace such a massive amount of labor as some predict, but even if it does, that will cause an equally strong lowering of the cost of living, requiring less labor to live, cheapening welfare, etc.