So they haven't gotten permits, but why? Why where the permits denied?
Just the other day we had news that some Californian environment protection agency denied permits for SpaceX for political reasons as opposed to following objective rules, as ruled by a judge. So the fact that some permits were not issued doesn't tell me anything.
To my understanding: the permits weren't denied, they were never applied for.
Edit: I re-read https://www.tba.org/?pg=Hastings2025AIX and yes, it seems that xAI never applied for permits related to the gas turbines as they're making the argument that the permits aren't required.