This stone looked nearly the same, but it wasn't. It was the Delay Stone, which granted wishes just like the regular stone, but the wishes were granted with an unspecified time delay. The wishes may get granted a few minutes after, or even as long as a few years.
Zoe walked towards the spot where she usually met up with her friends before school. And as she approached Athena, she took out the stone, completely unaware that it wasn't the same stone she inherited from her grandfather.