Every side room on this level is about applying the lessons from the central room it's connected to. In this case: an obstacle next to a diagonal stretch of chain effectively causes the chain to be treated as two separate chains that can each straighten if circumstances are favourable.
You also know that straightening only happens when the chain is held, which means it can only happen after Beethro steps on (27,24). What else does that plate do, and how is that significant?
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×It allows the queen to spawn roaches, which go to the hot tile and then die -- but for one turn, can be a chain-straightening obstacle.
However, there's a problem. For straightening to happen, the serpent must be in its starting position (vacant tile in the NW). Beethro must send Halph to the orb so he can kill the eye. To let Halph out, the lower half of the gentryii must straighten
without the upper half straightening yet. And yet once Beethro is in the final corridor, he has no access to shallow water, so he can't change how the serpent's movement lines up with the spawn cycle any more. How can you get around this contradiction?
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×Draw a path on the trapdoors exactly the right length that Halph will block a spawned roach for one turn.
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50th Skywatcher