The vocal stem has distinct thin vertical lines at the end of the word on all three occasions. That generally indicates a sharp sound like 'P' or 'D' or 'T'. That being said, the first of the three does seem to have more mmm in it, while the second cuts quicker like the word 'Hope' which would not trail off the way 'Home' would, and the third has a very much more audible 'pop' at the end of the word. Still, none of it is enough to call it conclusive, and the live cuts don't have clear enough audio to help. The only real solution is for someone to ask Billie Joe and put it to rest once and for all.
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