Sentence:  The drivers of the 507s Lost Convoy knew they were in a world of deep fecal matter. Could they <WSD>brazen</WSD> a path through the city once more and pick up Route Blue on the other side? Or would this morning's chain of unfortunate events finally catch up with them? 
Meaning of the word marked with <WSD> tags:  "Generally followed by '''(out)''' or '''(through)''''': to carry through in a brazen manner; to act boldly despite embarrassment, risk, etc. (from 1550s.)