hehe, that's why i changed inline-block to block only and introduced the z-index

the higher the z-index the higher the layer of the content will be...
so changing the z-index of the bubble to 1 and of the avatar to 2 would be the solution.

if you use z-index 2 for each element they may get de-arranged. please use two different values.
(or three or four... if you want to have more layers ^^)