You get the first one (of whatever it is that is under discussion), then you get another of them, and then you get yet another of them.

So, it could be argued that 'yet another' implies at least the third.

You get the first one (of whatever it is that is under discussion), then you get another of them, and then you get yet another of them.

So, it could be argued that 'yet another' implies at least the third.

It could also mean that something is happening tediously often:

First one interruption, then another, and another, and then yet another. Aaargh! How am I meant to get any work done?