Hi mommies! I'm wondering your opinions and experience with thumb sucking. My daughter is almost 3…

Hi mommies! I'm wondering your opinions and experience with thumb sucking. My daughter is almost 3 months old and is on the verge of being a thumb sucker. I really don't want that due to teeth problems and it becoming a very hard habit to break in the future. She refuses pacifiers, so that's not an option. I was told to put mittens on her to prevent it? TIA for any advice:)