She was chasing hard practically quadruple texted you and you let your ego try and “punish her” for a text she likely made while feeling insecure. She immediately answered your question after, a bitchy girl wouldn’t have complied. She was likely saying that to save face.
At this point she is probably donzo because you got butthurt and decided to kill the interaction.
Next time leave your ego at the door and look at the actual interaction in front of you.
She let you be non compliant and flakey and still chased hard afterwards which meant she saw a lot of value in you in spite of receiving that kind of treatment.
All you had to do escalate would be keep the convo going.