The second liar often gives you information you never wanted! But that is offset by the excellent information of when the liars agree. Fascinating.

I didnt't math during the thinking pause, but my intuition was a second liar makes it worse (more likey to end up 50-50 situation) and additional liars make it better as you get to reduce noise.

Is there a scenario where the extra liar makes it worse, you would be better yelling lalalallala as they tell you the answer?