Ask her out when she mentions moving apartments this month

A move is stressful and time-consuming, but it's also predictable. You know roughly when it starts and when it ends. This gives you something to work with that casual texting doesn't. She's likely to appreciate a real offer to do something fun during the chaos instead of radio silence. What matters is that you ask her to do something concrete soon, not months from now. Pick a window that's realistically navigable. If she's moving mid-month, aim for a day or two before the move starts, or a few days after. The move itself is not rejection. It's just logistics.

Your reply needs to do two things. First, acknowledge the move without making it weird. A single sentence that shows you heard her. Second, propose a timeframe that respects the move but doesn't defer the ask indefinitely. Don't ask for a date three weeks out. Instead, ask her out for a window that works. Something like 'before you get swamped' or 'next week' if the move is later, or 'once you're settled' if it's within days and she'll be done quickly. The tone should be straightforward. You're not impressed by her move or sympathetic in a way that sounds patronizing. You're just being practical.

If she doesn't reply within a day, don't send a follow-up. She's packing boxes or dealing with logistics. A second message now reads like you're impatient, not considerate. Give it 2-3 days before you consider it dead. If she does reply but doesn't confirm a specific date, don't push for one immediately. Let her come back with a better sense of her schedule. If she ghosts completely, move on. That's the move being the final thing she told you, not a reason to stay in her messages.