Sack City X achievements

[olivenkranz]

Do I have to pick the 3rd option, which turns the city into a settlement, or is the 2nd option enough for the achievemnts to fire?
The achievemnts include

Carthago Delenda Est
Laconic If
The Besieger
Molon Labe

(I think that's all of them)

While I have all except Molon Labe and The Besieger (I'm working on it currently) I dont particularly enjoy razing cities that I want to have as Province Capitals...

 

[Nostalgium]

You have to sack the city, which reduces territory rank by 1. Meaning that Metropolises will still be cities, but cities have to be re-founded. If you are so inclined.