To "nix" something is to not allow it to happen. A "lull" is a short period of time. The text above says that any hopes for a short period of peace would not be realized. This is not the same as a "glimpse" of hope. A glimpse is something one can see for a very short time. For example, "I got a glimpse of the airplane as it flew over my house". A "lull" could be for an extended period of time - "There was a lull of activity for three weeks while electrical service was restored on the coast".

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