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How you can use this:
Set up just like you normally do, with seven of the original building tiles in each stack. Put a "new hut" onto each space of this board.
Whenever you would normally flip over a hut -- i.e., at the start of the game, or after a hut has been purchased, roll one die. If you roll a 6, roll another die, and check if the new hut with that number is still on the new hut board. If it is, remove the original hut which would have been flipped from the game, and replace it with the new hut. Otherwise, just flip over the original hut like normal.
That method does mean you'll see very few new huts toward the end of the game. You might consider that a plus (since late new huts tend to be unpopular buildings) or a minus (if you want to see more of the new huts). It gives an average of ~3.2 of the new huts per 28 draws, as opposed to ~4.9 if the tiles are all mixed together.
Alternatively, if you'd like to see more of the new huts, you can do exactly the same thing, but if you roll a new hut which has already been chosen, reroll until you get a new hut which hasn't yet been put in the game. (Of course, don't bother rolling if all the new huts have already been picked. And you can save a bit on rerolls when you're down to three huts by assigning more than one number to each.) This gives an average of ~4.4 new huts per 28 hut draws.
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