I also found this hard to parse. I suggest the following edit:
Omega will send you the following message whenever it is true:
“Exactly one of the following statements is true:
(1) you will not pull the lever
(2) the stranger will not pull the lever
”
You receive the message. Do you pull the lever?
It says ``if and only if this message is true” which would be kind of silly to include if it had to be true
The point is Omega would not send it to you it if it was false and Omega would always send it to you if it was true.
Oh I missed the quotations; you’re right
I also found this hard to parse. I suggest the following edit: