Human workers drag power cables all over construction sites. Why can’t a robot be built that’s smart enough to manage its own power cord? Power cord management seems simple compared to doing meaningful construction work.

I'm sure it seems simple from your desk

One thing: do you think that those power cables are permanently connected to the workers? Are you thinking about workers using extension cords for tools or the ones laying cable for the building, because it sure as fuck isn't simple to do either, which is why battery and petrol powered tools exist, and why the cableways are planned well in advance.

The wear and tear is a legitimate concern, but fixed industrial robots have been operating for many decades.

Only with maintenance and servicing by a human trained to see every potential flaw and monitor the equipment long term. Nothing, not even the most expensive equipment you can imagine, is without the need for regular maintenance.

You could have trade-specific robots. A drywall robot, a plumber robot, an electrician bot, etc. Each equipped only with those tools needed to complete just that trade. And instead of mechanical hands, they could simply be mounted.

Do you think that a construction site works the same way as a factory building cars? Just one long conveyors that shits out a fully built house? Workers move up, down and across the building dozens of times a day in a job doing multiple different jobs within their field, problem solving on the fly.