How to get a shy girl to open up physically?

NobodyEpic
Let me be clear right away, I'm not talking about sex. The title sounds incredibly dirty, but I couldn't think of any other way to put it, lol.

About 2 months ago, this girl I met in highschool texted me saying she had seen me at our community pool, and was gonna say hi but didn't (We both commute to different colleges now). Ever since that day, we've been texting everyday and hung out a few times. She is almost always the one to initiate the texting, but I'm always the one initiating us seeing each other irl. When we do see each other, she is incredibly shy; which I also noticed when we were in highschool together. However, I have gotten her to open up mentally/feel more comfortable talking to me, but we have no physical contact (No kissing, hugs, etc.).

Last night was the 5th time we've seen each other, and we did have some contact; we were playing around on the floor and ended up holding hands for a few seconds (barely anything, but I figured it's a start).

Now, I'm pretty shy too so I don't initiate a hug or anything either, partly because I feel like it'd be weird for her. But, she had a boyfriend when were in highschool, and I remember seeing her kiss him in the hallway, so I know she's not 100% against physical contact.

Anyway, how can I make her more comfortable/get her to open up?
How to get a shy girl to open up physically?
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