Which clue is Witch? or Red Herring Soup - Room 11

The answer is in the text, as follows:

First, examine the number of doubles (famously used in the Raven poem by E.A.Poe)
"room...doors...still....room....doors...interrupt....crossing...gratefully...room...all"
10 doubles

Next, look for hidden numbers in the text, as follows:
"before" (b-4 when pronounced)
4

Now, try to add or multiply the two numbers.
10 X 4 = 40 Success!

(look for often, it would, net, for, etc. as wll as divided lines inter-rupted, would still count as a double.)
Now, we will apply this to the path. At times it is altered slightly.)

Here is the picture with hidden number highlighted 

Note: This page is a double clue! How? The sign itself!
Same Rule: 2 doubles (assistance and bell) and the word/number "for" = 2 + 4 = 24.

Room 16 appears to say "8" which is not an option, unless there is a hidden 8 on the, yes, on the trap door!

What is that machine?