I found the offline github generator to use it on a cold computer and generate my bitcoinZ address , but apparently theres two kind of addresses public t-address and private z-address.

And its a little confusing or im missing something :

On the paper + mining guide it says :
* BitcoinZ-mini and BitcoinZ Cold Wallet cannot be used for mining as t-addresses are needed to mine - the private z-addresses they generate cannot receive mining rewards *

But on github https://github.com/bitcoinz-pod/zgenerate/releases   it says :
 
" Generates public addresses (taddr - starts with t*).
Just run in command line (cmd):

zgenerate

So now you have BTCZ address and you can start mining! "

So BitcoinZ cold wallet can generate only zaddres or taddres or both