People of reddit.. Any opinion on buliding genuine connection with her 👀?? (M20)

Been dealing with a some issuefor the past couple months and met this girl through it(both are having same background of medical student). We've had several meets but everything has stayed mostly to the point of clinical context.But the things are changed in face to face.Interesting thing is she's made a couple of moves to stay connected herself - gave me her number in our first meeting, later asked for my WhatsApp and messaged me first(although I use to ask related to stuff releted to that issue only)But our chats stay dry and functional despite being genuinely warm and helping without any kind of selfishness in person along with some good chitchatting and talks.In person she remembers small details which i use to say either in front of her or her friends, goes out of her way to help, even showed up on when she was not suppose to be there. We have little similarity but not being nearby. so common ground is there.Won't see her for several days. Chat's been quiet for a few days.Not looking to rush anything - just want to open things up naturally. Any advice on shifting the dynamic from without making it awkward?