In 2019, folks were going with a $1 million number. SpaceX's goal is $250,000.
The nozzle expansion section isn't anything crazy-futuristic. Each of the material types has been worked with for many decades. I'd think that the full flow staged combustion innards would be the more impressive, by far. Such engines have been built before, but none ever flew until Starship Super Heavy lifted off.
Inconel is around $6/kg. Copper is around $9/kg. Plus the cost of shaping, forming, machining, etc.
The ceramic may be the fanciest bit, but I didn't see any details on exactly what it is. Clearly something that tolerates heat well. Lots of speculation, but nobody outside SpaceX seems to know.