Most common thing on these cars is crappy piston rings and piston to wall clearance. Done a few on warranty.
You situation seems to be a headgasket/cracked head issue. The first telltale sign is the “as soon as it heats up”. Thats when your coolant is flowing and this is when you’re smoking. Pressure test the cooling system and see if there is any pressure loss/ or rapid building of pressure. If it rapidly builds pressure when cold you have an exhaust leak into the cooling system. If you have a pressure loss you are leaking out through an HG or a cracked something or other.