How to convert CAF format to MP3 (or direct recording to MP3) in iOS SDK?

Question

MP3

I ran into a problem that the iOS SDK is not particularly friendly with MP3, by default it writes to its CAF format, but it needs to be imported into MP3, is there any component on the Internet (even if paid) that performs this function.

PS There is, of course, an extreme option - to recompile the LAME encoder for iOS, but I think someone has already solved this problem and solved it easier.