3 month old hands on bottle

My little one has discovered her hands she’s three months old she loves to put his hands in her mouth, look at her hands, put her hands together. A week or so ago she started putting her hands on her bottle well now she has been putting her hands around her bottle and forcefully pushing it out of her mouth than screams thinking I’m taking her food away it’s almost like She’s wanted to put her hands in her mouth while eating. I use dr brown glass bottles so they have good weight to them little girl is almost to strong for her own good I don’t want to discourage her from using her hands but at the the same time it’s hard to be forcing a bottle in her mouth while she’s pushing it so hard out any other babies doing this bizarre behavior