TL;DR rising labor costs and regulation
Note that the regulatory costs are only responsible for much of the increases of the 60s and 70s. They're the boogey man, but the increases of the last forty years can't be blamed on them. It's a general problem: HSR and subway stations have seen similar increases.
Another issue is that the difficulty of complying with the regulations is intentional. The paperwork is difficult as an intentional sort of time-tax on building anything new. We could actually automate and streamline everything to be approved immediately (while following the letter) without large paperwork costs, but that’s not actually what those who push for the regulations actually want. They WANT it to be hard.
It’s not just a boogeyman. It’s the real reason. Regulations are responsible for most of the cost of nuclear power.