I’m not sure that changing up the sequences for the locks every time constitutes a fair puzzle. Having to guess which sequence is being used at which time is hardly in the spirit of a “puzzle” and more in-line with a guessing game. Gollum raging at Bilbo for putting out the “riddle” “what have I got in my pocket?” is entirely justified for this reason. At that point, save-scumming to keep the RNG the same so that anything “logical” can be figured is not untoward.

That being said, the art is fantastic!