She glances back down to the piece, and then to the board, mentally illuminating the possible paths for such a piece.

Then she sets it on the board, closer to Thrawn, and reaches into the box for another piece. There are only two left - one with only the opposing color as its twin, which by its size and shape she could tell was also likely important. She chooses the other, again the same smooth, curved edges, but a strange shape she doesn't recognize at all as its top, a kind of rounded teardrop, with a single slice cut through it.

She looks back up to Thrawn, with no guess at all for what this could be.