If someone finds your randomized grid yea. the shapes themselves should be low entropy.

Imagine crossing a border with a grid and agents taking a picture of your list. Then after the fact they go home, enter the grid into their AI tool which tries to brute force with human friendly patterns.

Perhaps you have some time to transfer out as long as you arent detained during this period.

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So you have to secure your grid?

IMO yes. Picking a pattern is no different than picking a 12 word phrase from a 2048 word list. But the pattern isnt random, Its biased because you can remember the shape.

So the entropy is mostly in the randomized list. If your list gets out then I think you have a problem.