Mesa 13.0.4 is not in a PPA (Padoka’s stable one has 13.0.3), you’d have to build it yourself. But apart from that, it’s a stable release, so no specific problems AFAIK.
Now, if you’re talking about problems like the pink tint on some icons, the issue with Padoka’s PPA is not with Mesa but LLVM. If Padoka updates his PPA to 13.0.4, it’s likely that the LLVM package stays the same and thus the issue too.
Mesa 17.0 stable (which is in fact Mesa 13.1 but the devs decided to change the version format) is supposed to be released later this month, so I guess Padoka will package it, probably with LLVM 4 that fixes the bug.