Most guys at this point have said something stupid, cause they feel hurt but try to sound cool "hey i don't like flakey girls, see you" and ruin everything.
You might have by saying "fine go to your party" and not following it up with something funny. Up until that point i can see it as "playful banter". You should always keep the "playful banter" frameset in mind in any text chat, cause there is so much leeway for how things can be interpreted, so ignore the negative voice in your head that says to interpret it negatively.
Cause when she said "But there's A LOT of drinking at this party." she was probably just baiting you and expecting you to keep conversationally sparring with her to convince her to come. Whatever jokes usually work for you. Eg. "Seriously, it'll be awesome - you'll be so popular when you're hanging out with the best looking guy at the party."
The fact that she bothered to text back "don't be mean" makes me think moreso that she wasn't expecting a negative reply. If she was blowing you off she wouldn't have to tell you to not be mean, I believe. She wouldn't care to reply in that case.
Going back to banter - it's still traditional for men to chase women in some form - it's a primal thing, the woman has to hold back and be uncertain, while the guy continues to behave in a way that makes her feel like everything will be okay and she'll be looked after. She has a lot to lose by dating the wrong guy, and if he can't handle a bit of that testing, then he's not good enough for her.
When you contact her again you should keep it light and happy. Maybe something along the lines of "Well, I've finally fully recovered from that bloody awesome party that you turned down for your crappy lame drinking party, and I can finally let you know that there's is this crazy club party on Thursday that no one should miss."
I advise coming up with your own thing though. In that one I avoided words that directly ask her to come along. I think it sounds better, and of course it always leaves you the option of doing the Mystery thing if she turns it down - you can say "I didn't say you could come, I just wanted to tell you what you're missing out on
"