SOLVED: Logic Pro X permissions error when bouncing to only MP3 any non-PCM format.
I encountered a problem where bouncing to any format, without also including PCM as one of the bounced formats, results in a permissions denied error. If PCM was included in the checked formats, it would function fine. I suspected that this might be related to the fact that the full bounce was still having to be generated somewhere in a temp directory as a PCM file before being rendered in my target directory in my other chosen formats. The permissions were likely a problem on that Temp location.
It was flummoxing because I am running as a system admin on the machine and there was no specific directory or file mentioned in the permission error, and therefore, per the message, nothing to check in Finder.
I figured it wasn't a big deal as I can always "co-bounce" in WAV and bypass the problem, but I later tried to stretch an audio sample and got a similar error and this time, it named "Temp" as the problem folder. Using this as a clue, I searched for a Temp folder (note the upper case T) and while there are a few on my system, I was able that ~\Music\Audio Music Apps\Temp had system read and right privileges, but I (even as an admin user) did NOT. I added myself to the list (via Finder's Get Info dialog) with Read & Write permission, and bingo. Problem solved. Obviously this is the folder where some of Logic's temp files are located. Not sure why it wasn't set correctly to start with, but hopefully this helps someone sometime!