This is clear from other other departments where they fired everyone they could.
"Coding error" is just a modern version of "the dog ate my homework". Lame but people will swallow it. They knew what they were doing, they just regret getting caught.
Sadly, once the firings, rehirings, refirings, court cases, and compensations are done, there won't be any money saved at all, probably more wasted.
That public servants do important work under less than ideal circumstances and funding is entirely ignored.