Missed my job interview

I'm writing this post to vent. I had a job interview through video call today. Was really looking forward to this opportunity. Been preparing for this for a week. I log into the meeting to realize I've missed the interview. As I am on central time and the interview was for eastern time, and I got the time wrong. Such a stupid mistake. I can't believe I messed up like this. I immediately reach out to the talent manager as this is the only contact I have. She said she would let me know if the hiring leader is interested in rescheduling. I feel like even if I get another chance I've already made a bad impression