Relationship dispute over a vicious dog?

My pitbull Calvan has ripped my wife's favorite michigan walking shoes to shreds and she wants the dog gone. I couldn't help it, i laughed when I saw him vigorously chewing the shoe because the shoe stank and I couldn't believe that the dog would eat it.
Regardless, I agreed with her that I will get rid of the dog so I pretended that my brother from overseas agreed to have it delivered to him, but in reality I trapped it in the basement with a few dozen bags of dog food and a leaking water pipe. Problem is, the dog belches very loud every 1-2 hours and my wife believes that I am the one belching. How can I shut up the dog and the wife before it's too late?
Relationship dispute over a vicious dog?
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