"Being sick" is simply a description. Adding the "by" to become "by being sick" indicates a method, purpose, or instruction. In other words, you're telling yourself to get sick when you're not. This does not make sense, and it is not the intended meaning of the French sentence.
That is already accepted. Incidentally, I saw a typo in a report the day you posted your comment: "bring" instead of "being". The software wouldn't like that.