Studying with Cap Ex-BF tomorrow...deja vu, seeking perspective.

Hello Caps! Thanks in advance for taking the time to read my post and give me some feedback on how you're seeing the situation.

Background: Ex-BF is Cap male, we dated for the month of July into the beginning of August. We met through a summer class we were taking at university. I broke up with him because I believed we were not communicating enough (for my standards at the time) and that we would both be too busy to see each other, especially since we didn't have any classes together. The powers-that-be have a sense of humor because: a) I matured and realized that I am very busy as well and also realized how much I was actually asking of him and b) we do in fact have a class together on Mondays and Wednesdays for an hour and a half. I didn't find that out until the school year started, though, because karma.

The relationship changed gradually. We met up for a one-on-one lunch back in September, and that went well, ended in a hug and talk of a "do this again sometime soon." Then it was me messaging joking I was gonna sit next to him and get him sick (I was ill at the time). Break for discussion of a FWB relationship that is yet to happen because I refuse to outright ask when that's gonna happen, nor has he asked me to spend time with him in that way. Then it turned into "I am running late, please save me a seat." and us sitting together in class, followed by some touchy-flirty stuff, i.e. I would cross my legs and he would knock my leg off my lap to bother me, elbow me when I'm writing, etc. He remembered I had an exam last week and wished me luck day of, albeit a little late. So far, the best part was me asking if I could nap on his shoulder instead of the corner of my auditorium chair, and he obliged. I slept through most of lecture that day; it was a nice nap.

Today he messaged me asking me about why I wasn't in class, and I explained I was touring a medical school. He says have fun, and I say thanks (and on a Scorpion whim, add), miss you at class. He says"btw, we should have a study session for the test coming up soon" I deja vu here because this is how he asked me to spend time with him when we first started dating. Bittersweet. I say sure, what works for you? We chit-chat about times, and I explain I can't stay very late on campus because I use public transportation, and he offers to take me back to my house (35 minutes no traffic, he lives 15 minutes from campus). Again, deja vu, him coming to my hometown to spend time with me...just like the first time we hung out. I thank him a lot, apologizing for being difficult because of my use of public transportation.

He says for the sake of gas, we should study somewhere close to campus or near my house. I asked him what he thought, and he asked what was near me. I named some restaurants that are open late with coffee and free wi-fi, but also suggested my house for the hell of it. He says my house would reduce driving a bit, and if my mom (I live with my mother since I'm really young) is cool with having a guest, he's cool with studying with me at my house. I make sure everything is set, and report back to him that all systems are go. We kinda joke about what we're gonna eat (order take-out vs. Argentinian steak) and the conversation ends.

Is it normal for a Cap male to be this friendly/cool with his ex-girlfriend, or is there more to this?

I don't consider someone I dated only a month as an example boyfriend. That was just someone I was getting to know and it didn't work out. In other words, it didn't evolve to the boyfriend stage.

Not example, should be ex