<human>: My friend and I met last year and have never stopped texting. For the first 6 months, we talked actively and the texts were non-stop, many times a day. We didn't hang out much, she said she was mega busy with school. 

The last 6 months have been weird. She broke up with her bf over the summer and ever since then, it has been more terse and whatever. She is over him and I was there 100% to support her.

Weird things now and IDK how to bring it up:
- she says she doesn't like to initiate hanging out with people, but idk why or how I can request someone does this?

- whenever we hang out it is GREAT but it is so rare. She seems authentically interested in me in real life, but not through text.

- I invited her for lunch but she cancelled on me because she is working on an overtime project until the end of this month and she needed to work. But she never suggested another time.

- Yet a lot of the time she tells me she was hanging out with other people or doing lunch with them. 

- I don't want to bombard her because I know she is busy with work and this overtime project, and I do not want to be insensitive.

- Yet the weird thing is, she texts me every day ANYWAYS despite not showing much interest or answering my questions, or even sending thoughtful responses. She texts daily. Still. WHY?! If she wants to drop me, then she should already....

IDK what to do, reddit. I don't want to bug her and have her tell me it's work stress. I don't want to make her feel like I am some possessive jerk who wants all her time (we hung out once in January, once in November... before then it must have been September, or August...???)

Can you succinctly summarize the text in 1-3 sentences?
<bot>: Friend is distant, says it's work. Puts almost no effort into hanging out with me. What to do?