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If the bedding is straw which is derived from cereal crops it should be safe as aminopyralid isn't licensed for use on cereals. If it is hay based, then I would avoid it as there is absolutely no way of knowing whether it might have been sprayed. I've bought both in the past for mulching my strawbs - barley straw and meadow hay. I know which one I'll be sticking to in future.
oh, and won't be buying barley straw to keep the pond clear next year, just in case. I have a lovely & quite rare waterlily & I'm taking no chances!