Don't worry much about gluten free - all it means normally is substituting Oats, Wheat, Rye or Barley grains with either rice flour, a starch flour or one of the other naturally free from gluten flours and a certified facility and equipment/machinery that never goes near the gluten containing products. Usually it's a tax matter (i.e. more expensive than the other option due to the amount of extra bs involved).
The others are more of your issue, dairy free can mean a lot of other ingredients to substitute and all of them are more expensive than dairy sources. Organic can mean anything from grown with benign neglect to the full orchestra of sign off, testing, inspection and certification and everything in between.
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