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Does the secret tile have to be revealed? Could it be one of the X number of tiles that get laid out initially? Then gets discovered later on?
It seems you’ve got a geometry problem of the apex of a triangle not being capable of fitting its neighboring tiles.
You could make the secret tile be a special tile that stays off-board until revealed but is a “universal” tile that by design can neighbor any other tile combo.
If you had almost any other shape and when a player causes the last tile to get placed sticks it where-ever, that would likely eliminate the issue as well.
Good luck!
Tim
