Removing lore counters from Creation of Avacyn

I'm a bit confused about this interaction and I can't seem to find anyone that's asked this, but apologies if I'm wrong.

So in this example, I play a creation of Avacyn, and tutor out the card for the first lore counter. If I were to then remove the counter, I'm fairly certain I would search for another card in the same way.

What im unsure about is what would then happen for the second and third lore counter after doing this. Would CoA only care about the last card that I searched for? or would both cards flip up then go to my hand/battlefield. My assumption is that step II can only 'see' the card that was tutored for the last step I, but I'm not certain.