Get a new dog.
haha just kidding. I think you are on the right track with your food process, cool stuffI am going through similar stuff with my pooch, teaching him "shh" by marking and rewarding the moments when he isn't barking. The trick is mixing it up between marking and rewarding quiet after barking and also quiet after, well, not barking.
(Otherwise WOOF-silence will be reinforced, rahter than stopping barking. See what I mean?)
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