Sand each of the tiles with the belt sander, getting them free of shine. Brush off the dust.
Brush a thin, smooth layer of sealing primer onto each tile, keeping the brushstrokes in a consistent direction. Don’t paint the grout lines between the tiles.
Let the primer dry eight hours.
Paint the tiles with dark paint, again using thin, smooth brushstrokes in a consistent direction. Don’t paint the grout lines.
Let the paint dry for eight hours. Brush on a second paint layer in the same manner. Let it dry, then add a third coat. Continue until the underlying primer is completely covered. Let the final coat set for 24 hours.
Lightly sand the polyurethane with fine sandpaper, to dull the shine. Wipe off the dust.
Brush on a second layer of polyurethane. Let it dry, sand it by hand and brush on a third coat. Let the third coat set for 48 hours.