That "clever hack" you just thought up is called "fraud" and is very illegal. Anthropic could cut you off as soon as they found out, and if they wanted, sue you for infringement, the way Oracle and Microsoft do.
(Also, I don't know about other countries but the IRS would have some questions for you after a few years of running a corp that doesn't appear to actually do anything).
I think railway or construction companies do just create some corporation for each project, so it can't be illegal per se. What's going to stop you from just creating a company for each project (splitting when projects become to large). You can also keep a reasonable number of companies around and just allocate tasks and resources as necessary.
I actually believed that having a ton of subcompanies, IS already how any larger company operates.