Is it weird to try again without giving it some time (and gaining some experience)? Will I look desperate? Is it a general faux pas in any way?
edit: Re-applying for the same position right after the have rejected you will not be successful i my guess. I have been in my current job for 17 years now. My first interview was not successful. I reapplied after 1 year and got the job, so yes, it is possible to get the job the second time around. Good luck