I had a similar problem with my LS3. It has been a while but it would just die coming to a stop. I assume you are using DBW? If so that is where I was told issue was Throttle Position Sensor in Throttle body. So I bought TB as that part is molded in on the silver blade TB. The new TB had a gold blade which created other issues. In the end I put old TB unit back on and got a tune after cam swap and problem is gone. Sorry this is not clear answer but it might be the pedal or TB causing you issue.
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Tom
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