Player Tile holder for "Brass" (boardgame)

Each player has 5 piles of tiles to manage during a game of Brass (a boardgame by Martin Wallace), and invariably, someone knocks theirs over at some point. Typically, this person is me.

This tile holder should withstand the accidental nudges it might get and keep the tiles in good order as well.

NB the free-standing side arms on the corners are more fragile than I like. They'd benefit from bracing along the sides to give them strength, as you only really need on face open to draw the chits out.