Mirror to mirror usint reflection probes?

Hello everyone! Maybe is a strange question but... its possible create something like a mirror face to face to another one using reflection probes? (or another way) I was testing with reflection probes and just by curiosity I have thought about this question.

Realtime https://my.mixtape.moe/sxvfnl.PNG

Baked https://my.mixtape.moe/ztjgaz.PNG

In the baked one I have achieved something,but in the reflection of the wall you see the sphere reflecting a black wall. After that point, there aren't more reflections.

It's possible go beyond that? Or I'm crazy to try something like this?