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you can just save scum the puzzle by saving and trying every possible movement reverting if you get it wrong and saving on the next right number to guess it again. so until somebody figure it out that's the only way to solve it.
Strange.
111
023
289
If we have this, please add each column (1+2+8) - 10 = 1. So, the next step is 1. By doing this, add each column from left to right, subtract 10, and move accordingly.
so, your path 013
Stuck.
This is not 100% correct but can work. it is % (modular) instead of - (subtract)
Column 1: 0, 6, 9 = 15 = 5
Column 2: 7, 5, 8 = 20 = 0
Column 3: 8, 4, 0 = 12 = 2
Column 4: 5, 2, 9 = 16 = 6
Passcode for first 5 columns = 0, 5, 0, 2, 6
It doesn't lead forward at all, it's just a bonus treasure room.