<human>: I'm male 24, she's 21, we both work together and I've sent her a total of 4 texts altogether. Last week I got her number for plans on Thursday (9/1) but she cancelled to go out of town. I texted back today (wednesday 9/7) asking how her trip was, without asking if she wanted to do anything today but she immediately said she had to work and that she was tired from the trip. Our schedules probably won't really converge much this week.

In the past couple months she has made it pretty obvious in casual conversation around me that she doesn't have a boyfriend and when she wrote down her number it was clearly so that we could go on a date together. She smiles a lot at me even when I'm not really doing anything worth smiling at and she seems to enjoy talking to me on breaks which confuses me even more. I've also made it clear through group conversation involving her that if a girl is getting chased and isn't interested in the guy, then that girl should straight up tell him the truth rather than drag on an uncomfortable situation.

I'm attractive but I don't want to ruin my chances by seeming too needy. It's already shaping into a situation I've been in before where I keep getting dodged but this time seems different because she never mentions a boyfriend and has only mentioned friends once. How long should I wait to initiate contact through text assuming I don't see her at work until next week. More importantly, how do I know (based on her grand total of 3 texts) if I should just move on and try to salvage this situation so it doesn't turn awkward at work?

Summarize the given text in a few sentences.
<bot>: Coworker gave me her number at work for a date but dodged me to go out of town. How do I know if I've been friendzoned?