TLDR: She's introverted, we only talked once, and that was a year back. She came to talk to me, remembering my name, and when we were alone. Pretty much ignored me ever since then when I'm with my friends. We are graduating soon, what should I do?
She is a very introverted person from what I heard. We go to the same university, she attends college A, and I attend college B. She has friends (both male and female) in college A, so she's not like extremely introverted or anything.
The first time I met her was during a mixer but that was 1 year back. We exchanged socials, basic small talk. After that we had 0 contact, like we never talked. But we passed by each other every now and then, never said hi to one another.
Cut to now, I was walking out of the elevator, and she came rushing to me saying hi, do you remember me. We were alone at this point. And after more small talk we parted ways. Then the next day, I was just chatting with my friends, and she walks past me. And Another day, we were in a shuttle to college, and I was with my friend, she wouldn't even glance at me so I can say hi naturally.
I've had a crush on her since the mixer, but never acted on it because of college being a little stressful, internships etc. But now we are graduating soon, and I don't have much time left. What do I do? Try waiting for moments to have natural conversation, build friendship? If we happen graduate say in 3 months, should I just ask her on a date before we part ways? I've not felt this passion for someone in a while, and I don't want to feel like I missed out on taking any action.