Girl doesn't ever approach/text first. What should I do?

Anonymous
This girl I like has never ever texted me first. I KNOW for a fact she likes me. But with any interaction, I have to initiate the interaction, whether it be verbal or texting. She acts super ultra shy in this way, but as soon as I approach/text her she acts totally normal and is super sweet. So how can I get her to be more comfortable approaching/texted me first? Like in the hallway, she is always looking for me, when she sees me she will wait and start walking very slow just ahead of me so I can catch up. When I do catch up she will fake act surprised and act like she didn't see me. We like walk together almost every day to lunch and that basically happens every day, so I mean its a reoccurring thing. I have never seen someone act so ultra shy one second and then be totally normal the next. She only does this to me and she is a very social girl that is not this shy any other times. I just want her to be comfortable and be able to a mutual relationship with her, so that I don't have to do everything be myself. I understand girls think this is the guys job, but all I am looking for is a little bit of mutualism.
Girl doesn't ever approach/text first. What should I do?
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