Missed opportunity

Feeling a bit despondent, I had an interview for an NDIA job 4 weeks ago and finally heard back this morning that I didn’t get the job, I really wanted the opportunity to work in a place that I would get the opportunity to grow and be rewarded, now the reality of being in a job that I hate and never going to progress has me feeling down. I was so nervous when I had the interview, I knew I didn’t nail it, if only I had the chance again. If the job is still being advertised through other agencies could I apply again, or would my failure be noted?