When exactly did everyone figure out about Lucy? [Spoilers]

So I've been playing through the Assassins Creed series recently, all for the first time.

Spoilers below:

I managed to figure out that Lucy was a templar, because of what Juno says when she forces Desmond to stab her (plus, it was also a lucky guess). However, as far as I can remember, the characters never figured this out.
But, then, in Assassins Creed III, they just casually mention that she had betrayed them and was a Templar. When did they figure this out? I assume that it'd have to be in Revelations, but I don't remember that happening (or really, much of anything with any present-day characters but Desmond).
Did I just completely miss something? Or did they just figure it out offscreen based on what Juno said (though, then again, they couldn't hear her, and Desmond went into a coma right after, so I guess not).

When exactly did everyone figure out about Lucy? [Spoilers]

So I've been playing through the Assassins Creed series recently, all for the first time.

I managed to figure out that Lucy was a templar, because of what Juno says when she forces Desmond to stab her (plus, it was also a lucky guess). However, as far as I can remember, the characters never figured this out.
But, then, in Assassins Creed III, they just casually mention that she had betrayed them and was a Templar. When did they figure this out? I assume that it'd have to be in Revelations, but I don't remember that happening (or really, much of anything with any present-day characters but Desmond).
Did I just completely miss something? Or did they just figure it out offscreen based on what Juno said (though, then again, they couldn't hear her, and Desmond went into a coma right after, so I guess not).

When exactly did everyone figure out about Lucy?

So I've been playing through the Assassins Creed series recently, all for the first time.

Spoilers below:

I managed to figure out that Lucy was a templar, because of what Juno says when she forces Desmond to stab her (plus, it was also a lucky guess). However, as far as I can remember, the characters never figured this out.
But, then, in Assassins Creed III, they just casually mention that she had betrayed them and was a Templar. When did they figure this out? I assume that it'd have to be in Revelations, but I don't remember that happening (or really, much of anything with any present-day characters but Desmond).
Did I just completely miss something? Or did they just figure it out offscreen based on what Juno said (though, then again, they couldn't hear her, and Desmond went into a coma right after, so I guess not).