Your entry point is a masters and probably Phd in Electrical Engineering, specializing in some aspect of semiconductor manufacturing. It’s definitely not CS.
Surely there is a lot of software involved in the design / operation of these fabs, it's not just designing the chip directly. Another commenter mentioned EDA so maybe I'll look into that.
There is a huge amount of software in every single step of making an ASIC, digital or analog. Or even a PCB for that matter. Long gone are the days of cutting tape and etching anything yourself. Apple's M3 has 25 billion transistors. No human drew those.