I've seen these kinds of chessboard automaton systems before, and they commonly struggle with complex movements, such as castling pieces, capturing, and the movement of knights.
A lot of them can't handle "contingent movements" where you need to displace piece X but in order to do so, you first have to displace piece Y, and then rewind the stack to restore the original pieces positions.
The second video where they demonstrate the actual gameplay footage exhibits some of these problems with this board, e.g. pieces that are displaced don't seem to re-center automatically, etc.
A lot of them can't handle "contingent movements" where you need to displace piece X but in order to do so, you first have to displace piece Y, and then rewind the stack to restore the original pieces positions.
The second video where they demonstrate the actual gameplay footage exhibits some of these problems with this board, e.g. pieces that are displaced don't seem to re-center automatically, etc.