There is no machine have these three functions as you need. What you need are three different machines, and soldering isn't done with an iron, but reflow in a carefully temperature controlled oven.

Have you seen a P&P machine that can also be used as a simple CNC? It is totally impossible with nowdays technology.

What you need are 3 separate machines. 1.Theres is no answer. 2.At work we have a pick and place machine. It's pretty specialized since it has to take parts from various tubes and trays. This is an expensive machine. I wouldn't try that with a general CN

I have not seen any soldering XYZ machines. Solder paste dispensers do exist, and would seem more usefull for an SMD prototyping environment.

It is pretty helpful to my daily learning.