So close! Get one that does poached eggs. It's basically like an ice-cube tray, but the cells are bigger so they fit a whole egg. Only downside is that you need to be quite precise when filling the water. (We use a kitchen scale and measure it to the gram, but it's perfect every time)
The exact model we have is the Cuisinart CEC-10, but I'm sure there are others.
The second part sounds like a thing phones should already be capable of, if it weren't for trying to charge for something. Or snoop on me. Or something worse I just haven't thought of.
Enshittification is such a downer. Oh, well, guillotines will fix it eventually, I guess.