Modern Minting Process Question

Here in the mint I know the engraver's job is only to retouch the dies. A sad era for craftsmanship. Everything else now is computer aided or controlled.

Artists may or may not do a large plaster model. Bad artists skip that. But when they do the model it is then laser scanned and turned into a digital representation. Finishing touches and sometimes the whole design are done in software. There is some software specialized for use in mints.
This can go very wrong sometimes. Here in Portugal a commemorative coin got issued with a missing letter in the county's name because of a typo by the person using the software.
It can also go wrong because artisans no longer understand the design limitations of coins. The technical requirements for a usable and durable coin. It is not a new problem, artists in the past sometimes wanted higher reliefs than was possible. Now it is more often the opposite. Very flat coins designed by people who are not sculptors.

After this software design master dies are produced in CNC machines. Intermediate dies are stamped out of master dies and then used to produce working dies. Those are replaced as needed during the production run. If I recall correctly each may be used for around 50 thousand common quality coins.