You a few posts later: "[Battery and storage] also aren’t infinitely sustainable either" (also meaning in addition to nuclear).
Me: "Oh, so you concede that nuclear power actually isn't sustainable then? Okay."
Just read back. Is it sustainable or also not sustainable? You contradicted yourself and I think my comment went over your head.
The carbon cost of the construction and decommissioning a nuclear plant as well as producing and disposing of nuclear fuel is significant, and unlikely to become less so. Wind turbines and solar panels have a carbon footprint almost purely at the construction phase. It's significant too but manufacturing techniques are improving yearly while nuclear has been stagnant.
But according to to your source the difference between renewable and nuclear is marginal anyway and it only considers CO2 and air pollution as it affects human lives. It ignores water pollution from uranium mine tailings, radon or leaks of spent fuel are considered and so is a poor source for considering environmental damage in general.
Finally, your link doesn't mention batteries or storage, so is not an especially relevant source to the discussion either.