Silent reflux??? Scared!

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My son sometimes spits up. A couple times it's been the whole bottle. But it's usually coughing and choking a couple times after a feed. He also arches and squirms the whole time he eats. I told the dr and she told me to try cereal but didnt seem worried. Couldn't they die from choking?? Its terrifying! He also sounds wet in his chest after a feed. Which she said was just the food sitting in his throat. Idk why she wasnt worried :( she just said it was really common. But the choking and coughing? I hate it :( hes only a month old. It's so scary. He hardly burps no matter how hard I try so that's not helping.