Let's try an analogy - you dole out the whatever thousands of dollars it takes to buy a robot from whatever engineering company you fancy, including all the parts, labor, rare earth metals, venture capital interests, and whatever else went in to making it, you buy the whole damn thing off the shelf.
If you then go and make it make mud pies, that's
your problem. Furthermore, if the robot doesn't perform as adequately as you want, that's also
your problem. You already paid for the thing. You can't just go complain to boston dynamics and say "actually, I've personally decided this robot is worth less than I paid for it, so I'm going to take back half my money and keep the robot". That's not how it works in the market of things, but in the market of labor, it is, because workers are under threat of homelessness and starvation. Companies get the labor they can't afford anyway.
What I'm saying is that fundamentally, a human livelihood has an upfront cost and that's the cost it takes to keep a human alive. I'm not talking about what work you as a hypothetical manager end up making this hypothetical person do, or how good at it they hypothetically are, I'm talking about living human beings as they are, baseline, whether or not you consider their labor valuable or potentially valuable.
The rest of your argument hinges on this misunderstanding, willful or otherwise. You've torn apart nothing but your own strawmen. Pragmatically, I'm not even sure minimum wage is the right choice to rectify this indignity, other options range from nothing to UBI to free housing programs to guaranteed jobs to communism. I'm not commenting on which one is best, I'm commenting on the moral framework from which these ideas come from.