Ok, that may be a completely dumb question. If so, please forgive me

I wanna use the Security Token one-time password. If necessary I'll put it on my phone and use it from there, though that's a bit clunky.

What I have is one of those Security Tokens back from my SWTOR CE, it looks fairly identical to the SE one, except it says SWTOR on the front.

I don't wanna try to use it, in case I can't get into the game at all anymore then, but does this one work with FF14, or are there game-specific codes programmed inside, so that I can't use one for the other?