The sample you posted has mosaic tile on it. Is that your objective? If you lay a 3" block face in front of the brick and apply tile to that with thinset, would that accomplish what you desire? You would need a lintel to carry the block over the opening. Of course there can be no gap above the opening. You would need to lay it tight and apply mortar where the block is against the brick. You could only do this if the hearth extension is built correctly underneath in order to carry the load of the block. Do you follow?Ludlow can you please explain further?