Based on your demo it looks like you have a good start to the room. The big change that you need to make is:
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×It must be the
final timeline Beethro who goes down the middle path. Now the difficulty becomes how to open the doors in the top and bottom path in the correct order?
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×This is somewhat tricky, but the snake has to follow three different paths in three different timelines. I used a combination of delaying the pushing of the pressure plate at (12,22) and attracting the snake with the extra time clone to change the snake timing and its move preference.
The snake manipulation involved here isn't too outlandish since you only need to think about the snakes preferences at very specific spots, but it can still take a bit of doing to work out. I've included a demo that hopefully helps, though unfortunately the demo is not the most informative since it also includes a bunch of silly optimization tricks that make this look more complicated than it is.
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Links to neat forum tools that I always have trouble finding:
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