i had class with this HB9 last semester, and this semester we have another class together. Before, she had a boyfriend so i didnt pursue it, but now she is single, and i want to know how i should go about it.
Any advice is appreciated!

Forget this whole mindset of "gaming" her. In fact, abandon the outcome dependent mindset altogether.

The best frame to have is one where you simply want to have fun with her. Invite her into your reality, meaning that you invite her to the places and activities where you like to go, and just have a really great time.

Inviting her to parties and get togethers is a great start. This allows you to get into state easily and genuinely interact with her in a low pressure environment. It also builds comfort and demonstrates social proof.

Assuming all goes well, its not hard to jump from the classroom, to a party, to a small get together, to a one on one meeting.