She mentions hanging out again: what it really signals

A casual mention of hanging out again is a positive signal, but it's different from her texting you first with specific plans or saying she misses you. She's saying the door is open. She's not necessarily pacing the room waiting for you to walk through it.

This matters because it changes what you should expect next. She may have meant it in the moment and actually liked spending time with you. She may also have said it because it felt rude not to, or because she was in a good mood. Your job is to move forward as if she meant it, without reading into the tone like it's a love confession.

Your reply needs to do two things. First, acknowledge specifically what she said so she knows you were actually listening. Don't be so casual that you blur it together with everything else from the conversation. Second, move the idea from "something we should do" into actual territory. That doesn't mean booking a day right now. It means introducing a real reference point: a place, an activity, a rough timeframe.

The move is to respond soon enough that it's still part of the same thought, then give her something concrete to picture. This shows you're not just being nice back, you're actually thinking about it.

Reply the same day or the next morning while the moment still exists. If you wait three days, it looks like you either forgot or you're playing it cool. She won't interpret it as mysterious. She'll just move on.

After you reply and lock in a rough plan, give her space. Don't text again the next day asking if she's free yet. If she doesn't respond within a few days, send one follow-up suggesting a specific time and place. If that gets no response, stop. She's told you everything you need to know.