Milk allergy?

FTM here. My 12-day old EBF daughter is making me think she has a dairy allergy. But this is my first child so I don’t know what’s normal or not. Her biggest symptoms are she is gassy and has a lot of BMs. Like most of the time I change her diaper she has some stool. It is yellow and seedy but has looked wetter in recent days. Sometimes her stool or has smells bad. She is also fussy sometimes and I don’t know why. She seems like she has gas pain. She has no rash and she’s gaining like a champ. She takes in 3-4oz of milk every feeding (latch issues so there’s a lot of bottle feeding). My nephews have a dairy allergy but they were very severe and this seems mild. Anyone have this kind of experience? Any information would help! I’m planning on cutting dairy from my diet starting right now.