i think you’re good to just chill on this. It was an honest mistake and you apologized. Her response was emotional because she cares and giving her a day or two to cool off and realize that will be all it takes. Come back holding your ground and showing interest and she’ll be enthusiastic for the next date.The other guy was a ploy. Likely not even real.
She still cares - or she wouldn't have even told you this to provoke a reaction.
If she reaches back out, aske her out. If sh says yes, great. If she says no, wish her a good night and delete her number.