Want to ask my crush to grab some coffee, but is it too early?

There is this small cafe next to our campus where I (20M) meet up with my best friend from elementary school every so often over some coffee and lunch.

My best friend asked me again recently, which gave me the idea to ask my crush (~21F) to do the same sometime. Not as a "date" necessarily, just as a way to get to know each other a little better.

But would it be a bit too early at this stage? Here's how things stand between us right now:

• We met almost 2 weeks ago through mutual friends and sheer chance.
• She's (kinda) part of my friend group now, but not really active since she is a year above us. Seems that she does like spending time with us though
• She added me on insta one week ago
• One time I very casually asked her to join our friend group in an activity, which she declined. Although lowkey I forgot about that so she might've too.
• We've texted quite a bit over insta DMs over the last week
• During one texting session, she decided to come visit me in the lab to give me a sticker. She felt like I deserved it so she went out of her way to give it to me.
• She's one of the few people who hearts my stories (is that a thing that people do regularly? Most of my followers don't, neither do I). I have only made stories since she added me though
• Our texting has died down in the last few days
• We've only had limited shared irl time, and in all cases it was in a group setting. Although the one time she gave me a sticker, she specifically came to see me at first.

Given this context, would it be a good idea to ask her to grab a coffee sometime? Depending on when she is available, I'll probably ask her to do this during lunch, much like how I do this with my best friend.