The easier restricted-tile conjecture for hexagonal mosaics

For a knot, let a hexagonal $r$-mosaic be a knot diagram assembled on the hexagonal $r$-mosaic arrangement. The interior tiles are the tiles away from the boundary. The four three-crossing tiles are tiles 23, 24, 25, and 26, and the two three-arc tiles with no crossings are tiles 16 and 17. Easier conjecture. Every knot can be created as a hexagonal $r$-mosaic for some $r$, while restricting the interior tiles to these four three-crossing tiles and these two three-arc, crossing-free tiles. The source motivates this restriction using triple-crossing projections and presents it as an open computationally oriented strengthening of the general mosaic realization result.